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Finding the Third Proportional to 78,432 and 169,392

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Solution

The third proportional to 78,432 and 169,392 is: 365,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,432 : 169,392 = 169,392 : x
  2. Step 2: Convert to fraction form
    78,432/169,392 = 169,392/x
  3. Step 3: Cross multiply
    78,432x = 169,392 × 169,392
  4. Step 4: Simplify right side
    78,432x = 28,693,649,664
  5. Step 5: Solve for x
    x = 28,693,649,664/78,432
  6. Step 6: Final answer
    x = 365,841.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.