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Finding the Third Proportional to 121,370 and 188,446

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Solution

The third proportional to 121,370 and 188,446 is: 292,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,370 : 188,446 = 188,446 : x
  2. Step 2: Convert to fraction form
    121,370/188,446 = 188,446/x
  3. Step 3: Cross multiply
    121,370x = 188,446 × 188,446
  4. Step 4: Simplify right side
    121,370x = 35,511,894,916
  5. Step 5: Solve for x
    x = 35,511,894,916/121,370
  6. Step 6: Final answer
    x = 292,592.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.