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Finding the Third Proportional to 121,538 and 186,563

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Solution

The third proportional to 121,538 and 186,563 is: 286,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,538 : 186,563 = 186,563 : x
  2. Step 2: Convert to fraction form
    121,538/186,563 = 186,563/x
  3. Step 3: Cross multiply
    121,538x = 186,563 × 186,563
  4. Step 4: Simplify right side
    121,538x = 34,805,752,969
  5. Step 5: Solve for x
    x = 34,805,752,969/121,538
  6. Step 6: Final answer
    x = 286,377.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.