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Finding the Third Proportional to 118,835 and 172,902

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Solution

The third proportional to 118,835 and 172,902 is: 251,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,835 : 172,902 = 172,902 : x
  2. Step 2: Convert to fraction form
    118,835/172,902 = 172,902/x
  3. Step 3: Cross multiply
    118,835x = 172,902 × 172,902
  4. Step 4: Simplify right side
    118,835x = 29,895,101,604
  5. Step 5: Solve for x
    x = 29,895,101,604/118,835
  6. Step 6: Final answer
    x = 251,568.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.