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Finding the Third Proportional to 77,122.50 and 116,655

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Solution

The third proportional to 77,122.50 and 116,655 is: 176,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,122.50 : 116,655 = 116,655 : x
  2. Step 2: Convert to fraction form
    77,122.50/116,655 = 116,655/x
  3. Step 3: Cross multiply
    77,122.50x = 116,655 × 116,655
  4. Step 4: Simplify right side
    77,122.50x = 13,608,389,025
  5. Step 5: Solve for x
    x = 13,608,389,025/77,122.50
  6. Step 6: Final answer
    x = 176,451.61

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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.