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Finding the Third Proportional to 76,514 and 102,621

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Solution

The third proportional to 76,514 and 102,621 is: 137,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,514 : 102,621 = 102,621 : x
  2. Step 2: Convert to fraction form
    76,514/102,621 = 102,621/x
  3. Step 3: Cross multiply
    76,514x = 102,621 × 102,621
  4. Step 4: Simplify right side
    76,514x = 10,531,069,641
  5. Step 5: Solve for x
    x = 10,531,069,641/76,514
  6. Step 6: Final answer
    x = 137,635.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.