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Finding the Third Proportional to 402,900 and 626,707

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Solution

The third proportional to 402,900 and 626,707 is: 974,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,900 : 626,707 = 626,707 : x
  2. Step 2: Convert to fraction form
    402,900/626,707 = 626,707/x
  3. Step 3: Cross multiply
    402,900x = 626,707 × 626,707
  4. Step 4: Simplify right side
    402,900x = 392,761,663,849
  5. Step 5: Solve for x
    x = 392,761,663,849/402,900
  6. Step 6: Final answer
    x = 974,836.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.