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Finding the Third Proportional to 38,645 and 58,779

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Solution

The third proportional to 38,645 and 58,779 is: 89,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,645 : 58,779 = 58,779 : x
  2. Step 2: Convert to fraction form
    38,645/58,779 = 58,779/x
  3. Step 3: Cross multiply
    38,645x = 58,779 × 58,779
  4. Step 4: Simplify right side
    38,645x = 3,454,970,841
  5. Step 5: Solve for x
    x = 3,454,970,841/38,645
  6. Step 6: Final answer
    x = 89,402.79

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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.