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Finding the Third Proportional to 272,528 and 422,960

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Solution

The third proportional to 272,528 and 422,960 is: 656,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,528 : 422,960 = 422,960 : x
  2. Step 2: Convert to fraction form
    272,528/422,960 = 422,960/x
  3. Step 3: Cross multiply
    272,528x = 422,960 × 422,960
  4. Step 4: Simplify right side
    272,528x = 178,895,161,600
  5. Step 5: Solve for x
    x = 178,895,161,600/272,528
  6. Step 6: Final answer
    x = 656,428.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.