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Finding the Third Proportional to 28,620 and 61,472

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Solution

The third proportional to 28,620 and 61,472 is: 132,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,620 : 61,472 = 61,472 : x
  2. Step 2: Convert to fraction form
    28,620/61,472 = 61,472/x
  3. Step 3: Cross multiply
    28,620x = 61,472 × 61,472
  4. Step 4: Simplify right side
    28,620x = 3,778,806,784
  5. Step 5: Solve for x
    x = 3,778,806,784/28,620
  6. Step 6: Final answer
    x = 132,033.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.