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Finding the Third Proportional to 396,152,476 and 868,832,374

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Solution

The third proportional to 396,152,476 and 868,832,374 is: 1,905,502,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,152,476 : 868,832,374 = 868,832,374 : x
  2. Step 2: Convert to fraction form
    396,152,476/868,832,374 = 868,832,374/x
  3. Step 3: Cross multiply
    396,152,476x = 868,832,374 × 868,832,374
  4. Step 4: Simplify right side
    396,152,476x = 754,869,694,110,475,904
  5. Step 5: Solve for x
    x = 754,869,694,110,475,904/396,152,476
  6. Step 6: Final answer
    x = 1,905,502,905.68

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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.