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Finding the Third Proportional to 501,373,138,806 and 1,101,242,381,408

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Solution

The third proportional to 501,373,138,806 and 1,101,242,381,408 is: 2,418,826,795,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,373,138,806 : 1,101,242,381,408 = 1,101,242,381,408 : x
  2. Step 2: Convert to fraction form
    501,373,138,806/1,101,242,381,408 = 1,101,242,381,408/x
  3. Step 3: Cross multiply
    501,373,138,806x = 1,101,242,381,408 × 1,101,242,381,408
  4. Step 4: Simplify right side
    501,373,138,806x = 1,212,734,782,609,162,919,477,248
  5. Step 5: Solve for x
    x = 1,212,734,782,609,162,919,477,248/501,373,138,806
  6. Step 6: Final answer
    x = 2,418,826,795,342.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.