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Finding the Third Proportional to 78,396 and 165,432

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Solution

The third proportional to 78,396 and 165,432 is: 349,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,396 : 165,432 = 165,432 : x
  2. Step 2: Convert to fraction form
    78,396/165,432 = 165,432/x
  3. Step 3: Cross multiply
    78,396x = 165,432 × 165,432
  4. Step 4: Simplify right side
    78,396x = 27,367,746,624
  5. Step 5: Solve for x
    x = 27,367,746,624/78,396
  6. Step 6: Final answer
    x = 349,096.21

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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.