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Finding the Third Proportional to 78,060 and 169,243

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Solution

The third proportional to 78,060 and 169,243 is: 366,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,060 : 169,243 = 169,243 : x
  2. Step 2: Convert to fraction form
    78,060/169,243 = 169,243/x
  3. Step 3: Cross multiply
    78,060x = 169,243 × 169,243
  4. Step 4: Simplify right side
    78,060x = 28,643,193,049
  5. Step 5: Solve for x
    x = 28,643,193,049/78,060
  6. Step 6: Final answer
    x = 366,938.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.