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Finding the Third Proportional to 438,228 and 657,613

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Solution

The third proportional to 438,228 and 657,613 is: 986,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,228 : 657,613 = 657,613 : x
  2. Step 2: Convert to fraction form
    438,228/657,613 = 657,613/x
  3. Step 3: Cross multiply
    438,228x = 657,613 × 657,613
  4. Step 4: Simplify right side
    438,228x = 432,454,857,769
  5. Step 5: Solve for x
    x = 432,454,857,769/438,228
  6. Step 6: Final answer
    x = 986,826.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.