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Finding the Third Proportional to 51,545.25 and 81,772.88

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Solution

The third proportional to 51,545.25 and 81,772.88 is: 129,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,545.25 : 81,772.88 = 81,772.88 : x
  2. Step 2: Convert to fraction form
    51,545.25/81,772.88 = 81,772.88/x
  3. Step 3: Cross multiply
    51,545.25x = 81,772.88 × 81,772.88
  4. Step 4: Simplify right side
    51,545.25x = 6,686,803,085.77
  5. Step 5: Solve for x
    x = 6,686,803,085.77/51,545.25
  6. Step 6: Final answer
    x = 129,726.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.