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Finding the Third Proportional to 12,787.50 and 28,551

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Solution

The third proportional to 12,787.50 and 28,551 is: 63,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.50 : 28,551 = 28,551 : x
  2. Step 2: Convert to fraction form
    12,787.50/28,551 = 28,551/x
  3. Step 3: Cross multiply
    12,787.50x = 28,551 × 28,551
  4. Step 4: Simplify right side
    12,787.50x = 815,159,601
  5. Step 5: Solve for x
    x = 815,159,601/12,787.50
  6. Step 6: Final answer
    x = 63,746.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.