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Finding the Third Proportional to 12,472.50 and 27,294

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Solution

The third proportional to 12,472.50 and 27,294 is: 59,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.50 : 27,294 = 27,294 : x
  2. Step 2: Convert to fraction form
    12,472.50/27,294 = 27,294/x
  3. Step 3: Cross multiply
    12,472.50x = 27,294 × 27,294
  4. Step 4: Simplify right side
    12,472.50x = 744,962,436
  5. Step 5: Solve for x
    x = 744,962,436/12,472.50
  6. Step 6: Final answer
    x = 59,728.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.