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Finding the Third Proportional to 644,500,820.25 and 985,248,906.75

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Solution

The third proportional to 644,500,820.25 and 985,248,906.75 is: 1,506,150,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,500,820.25 : 985,248,906.75 = 985,248,906.75 : x
  2. Step 2: Convert to fraction form
    644,500,820.25/985,248,906.75 = 985,248,906.75/x
  3. Step 3: Cross multiply
    644,500,820.25x = 985,248,906.75 × 985,248,906.75
  4. Step 4: Simplify right side
    644,500,820.25x = 970,715,408,252,070,144
  5. Step 5: Solve for x
    x = 970,715,408,252,070,144/644,500,820.25
  6. Step 6: Final answer
    x = 1,506,150,772.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.