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Finding the Third Proportional to 138,854 and 287,554

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Solution

The third proportional to 138,854 and 287,554 is: 595,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,854 : 287,554 = 287,554 : x
  2. Step 2: Convert to fraction form
    138,854/287,554 = 287,554/x
  3. Step 3: Cross multiply
    138,854x = 287,554 × 287,554
  4. Step 4: Simplify right side
    138,854x = 82,687,302,916
  5. Step 5: Solve for x
    x = 82,687,302,916/138,854
  6. Step 6: Final answer
    x = 595,498.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.