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Finding the Third Proportional to 77,132.25 and 116,520.19

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Solution

The third proportional to 77,132.25 and 116,520.19 is: 176,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,132.25 : 116,520.19 = 116,520.19 : x
  2. Step 2: Convert to fraction form
    77,132.25/116,520.19 = 116,520.19/x
  3. Step 3: Cross multiply
    77,132.25x = 116,520.19 × 116,520.19
  4. Step 4: Simplify right side
    77,132.25x = 13,576,954,095.04
  5. Step 5: Solve for x
    x = 13,576,954,095.04/77,132.25
  6. Step 6: Final answer
    x = 176,021.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.