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Finding the Third Proportional to 413,517 and 626,511

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Solution

The third proportional to 413,517 and 626,511 is: 949,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,517 : 626,511 = 626,511 : x
  2. Step 2: Convert to fraction form
    413,517/626,511 = 626,511/x
  3. Step 3: Cross multiply
    413,517x = 626,511 × 626,511
  4. Step 4: Simplify right side
    413,517x = 392,516,033,121
  5. Step 5: Solve for x
    x = 392,516,033,121/413,517
  6. Step 6: Final answer
    x = 949,213.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.