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Finding the Third Proportional to 40,539 and 89,070

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Solution

The third proportional to 40,539 and 89,070 is: 195,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,539 : 89,070 = 89,070 : x
  2. Step 2: Convert to fraction form
    40,539/89,070 = 89,070/x
  3. Step 3: Cross multiply
    40,539x = 89,070 × 89,070
  4. Step 4: Simplify right side
    40,539x = 7,933,464,900
  5. Step 5: Solve for x
    x = 7,933,464,900/40,539
  6. Step 6: Final answer
    x = 195,699.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.