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Finding the Third Proportional to 38,670 and 58,815

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Solution

The third proportional to 38,670 and 58,815 is: 89,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,670 : 58,815 = 58,815 : x
  2. Step 2: Convert to fraction form
    38,670/58,815 = 58,815/x
  3. Step 3: Cross multiply
    38,670x = 58,815 × 58,815
  4. Step 4: Simplify right side
    38,670x = 3,459,204,225
  5. Step 5: Solve for x
    x = 3,459,204,225/38,670
  6. Step 6: Final answer
    x = 89,454.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.