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Finding the Third Proportional to 76,656 and 115,080

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Solution

The third proportional to 76,656 and 115,080 is: 172,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656 : 115,080 = 115,080 : x
  2. Step 2: Convert to fraction form
    76,656/115,080 = 115,080/x
  3. Step 3: Cross multiply
    76,656x = 115,080 × 115,080
  4. Step 4: Simplify right side
    76,656x = 13,243,406,400
  5. Step 5: Solve for x
    x = 13,243,406,400/76,656
  6. Step 6: Final answer
    x = 172,764.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.