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Finding the Third Proportional to 397,398,897,418 and 866,722,812,012

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Solution

The third proportional to 397,398,897,418 and 866,722,812,012 is: 1,890,313,329,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,398,897,418 : 866,722,812,012 = 866,722,812,012 : x
  2. Step 2: Convert to fraction form
    397,398,897,418/866,722,812,012 = 866,722,812,012/x
  3. Step 3: Cross multiply
    397,398,897,418x = 866,722,812,012 × 866,722,812,012
  4. Step 4: Simplify right side
    397,398,897,418x = 751,208,432,861,988,668,833,792
  5. Step 5: Solve for x
    x = 751,208,432,861,988,668,833,792/397,398,897,418
  6. Step 6: Final answer
    x = 1,890,313,329,359.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.