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Finding the Third Proportional to 78,661.13 and 165,007.13

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Solution

The third proportional to 78,661.13 and 165,007.13 is: 346,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,661.13 : 165,007.13 = 165,007.13 : x
  2. Step 2: Convert to fraction form
    78,661.13/165,007.13 = 165,007.13/x
  3. Step 3: Cross multiply
    78,661.13x = 165,007.13 × 165,007.13
  4. Step 4: Simplify right side
    78,661.13x = 27,227,351,300.77
  5. Step 5: Solve for x
    x = 27,227,351,300.77/78,661.13
  6. Step 6: Final answer
    x = 346,134.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.