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Finding the Third Proportional to 59,766 and 87,921

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Solution

The third proportional to 59,766 and 87,921 is: 129,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,766 : 87,921 = 87,921 : x
  2. Step 2: Convert to fraction form
    59,766/87,921 = 87,921/x
  3. Step 3: Cross multiply
    59,766x = 87,921 × 87,921
  4. Step 4: Simplify right side
    59,766x = 7,730,102,241
  5. Step 5: Solve for x
    x = 7,730,102,241/59,766
  6. Step 6: Final answer
    x = 129,339.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.