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Finding the Third Proportional to 28,554 and 40,587

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Solution

The third proportional to 28,554 and 40,587 is: 57,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,554 : 40,587 = 40,587 : x
  2. Step 2: Convert to fraction form
    28,554/40,587 = 40,587/x
  3. Step 3: Cross multiply
    28,554x = 40,587 × 40,587
  4. Step 4: Simplify right side
    28,554x = 1,647,304,569
  5. Step 5: Solve for x
    x = 1,647,304,569/28,554
  6. Step 6: Final answer
    x = 57,690.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.