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Finding the Third Proportional to 78,324 and 165,578

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Solution

The third proportional to 78,324 and 165,578 is: 350,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324 : 165,578 = 165,578 : x
  2. Step 2: Convert to fraction form
    78,324/165,578 = 165,578/x
  3. Step 3: Cross multiply
    78,324x = 165,578 × 165,578
  4. Step 4: Simplify right side
    78,324x = 27,416,074,084
  5. Step 5: Solve for x
    x = 27,416,074,084/78,324
  6. Step 6: Final answer
    x = 350,034.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.