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Finding the Third Proportional to 77,427 and 109,033

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Solution

The third proportional to 77,427 and 109,033 is: 153,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,427 : 109,033 = 109,033 : x
  2. Step 2: Convert to fraction form
    77,427/109,033 = 109,033/x
  3. Step 3: Cross multiply
    77,427x = 109,033 × 109,033
  4. Step 4: Simplify right side
    77,427x = 11,888,195,089
  5. Step 5: Solve for x
    x = 11,888,195,089/77,427
  6. Step 6: Final answer
    x = 153,540.69

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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.