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Finding the Third Proportional to 36,481 and 78,539

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Solution

The third proportional to 36,481 and 78,539 is: 169,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,481 : 78,539 = 78,539 : x
  2. Step 2: Convert to fraction form
    36,481/78,539 = 78,539/x
  3. Step 3: Cross multiply
    36,481x = 78,539 × 78,539
  4. Step 4: Simplify right side
    36,481x = 6,168,374,521
  5. Step 5: Solve for x
    x = 6,168,374,521/36,481
  6. Step 6: Final answer
    x = 169,084.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.