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Finding the Third Proportional to 621,432 and 931,824

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Solution

The third proportional to 621,432 and 931,824 is: 1,397,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,432 : 931,824 = 931,824 : x
  2. Step 2: Convert to fraction form
    621,432/931,824 = 931,824/x
  3. Step 3: Cross multiply
    621,432x = 931,824 × 931,824
  4. Step 4: Simplify right side
    621,432x = 868,295,966,976
  5. Step 5: Solve for x
    x = 868,295,966,976/621,432
  6. Step 6: Final answer
    x = 1,397,250.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.