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Finding the Third Proportional to 76,501 and 107,539

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Solution

The third proportional to 76,501 and 107,539 is: 151,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,501 : 107,539 = 107,539 : x
  2. Step 2: Convert to fraction form
    76,501/107,539 = 107,539/x
  3. Step 3: Cross multiply
    76,501x = 107,539 × 107,539
  4. Step 4: Simplify right side
    76,501x = 11,564,636,521
  5. Step 5: Solve for x
    x = 11,564,636,521/76,501
  6. Step 6: Final answer
    x = 151,169.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.