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Finding the Third Proportional to 122,358 and 172,309

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Solution

The third proportional to 122,358 and 172,309 is: 242,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,358 : 172,309 = 172,309 : x
  2. Step 2: Convert to fraction form
    122,358/172,309 = 172,309/x
  3. Step 3: Cross multiply
    122,358x = 172,309 × 172,309
  4. Step 4: Simplify right side
    122,358x = 29,690,391,481
  5. Step 5: Solve for x
    x = 29,690,391,481/122,358
  6. Step 6: Final answer
    x = 242,651.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.