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Finding the Third Proportional to 78,910 and 171,192

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Solution

The third proportional to 78,910 and 171,192 is: 371,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,910 : 171,192 = 171,192 : x
  2. Step 2: Convert to fraction form
    78,910/171,192 = 171,192/x
  3. Step 3: Cross multiply
    78,910x = 171,192 × 171,192
  4. Step 4: Simplify right side
    78,910x = 29,306,700,864
  5. Step 5: Solve for x
    x = 29,306,700,864/78,910
  6. Step 6: Final answer
    x = 371,394.00

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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.