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Finding the Third Proportional to 126,528 and 272,656

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Solution

The third proportional to 126,528 and 272,656 is: 587,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,528 : 272,656 = 272,656 : x
  2. Step 2: Convert to fraction form
    126,528/272,656 = 272,656/x
  3. Step 3: Cross multiply
    126,528x = 272,656 × 272,656
  4. Step 4: Simplify right side
    126,528x = 74,341,294,336
  5. Step 5: Solve for x
    x = 74,341,294,336/126,528
  6. Step 6: Final answer
    x = 587,548.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.