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Finding the Third Proportional to 78,027 and 169,339

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Solution

The third proportional to 78,027 and 169,339 is: 367,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,027 : 169,339 = 169,339 : x
  2. Step 2: Convert to fraction form
    78,027/169,339 = 169,339/x
  3. Step 3: Cross multiply
    78,027x = 169,339 × 169,339
  4. Step 4: Simplify right side
    78,027x = 28,675,696,921
  5. Step 5: Solve for x
    x = 28,675,696,921/78,027
  6. Step 6: Final answer
    x = 367,509.93

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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.