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Finding the Third Proportional to 72,031,759 and 157,724,653

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Solution

The third proportional to 72,031,759 and 157,724,653 is: 345,362,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031,759 : 157,724,653 = 157,724,653 : x
  2. Step 2: Convert to fraction form
    72,031,759/157,724,653 = 157,724,653/x
  3. Step 3: Cross multiply
    72,031,759x = 157,724,653 × 157,724,653
  4. Step 4: Simplify right side
    72,031,759x = 24,877,066,163,970,408
  5. Step 5: Solve for x
    x = 24,877,066,163,970,408/72,031,759
  6. Step 6: Final answer
    x = 345,362,469.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.