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Finding the Third Proportional to 275,528 and 415,317

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Solution

The third proportional to 275,528 and 415,317 is: 626,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,528 : 415,317 = 415,317 : x
  2. Step 2: Convert to fraction form
    275,528/415,317 = 415,317/x
  3. Step 3: Cross multiply
    275,528x = 415,317 × 415,317
  4. Step 4: Simplify right side
    275,528x = 172,488,210,489
  5. Step 5: Solve for x
    x = 172,488,210,489/275,528
  6. Step 6: Final answer
    x = 626,027.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.