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Finding the Third Proportional to 121,036 and 258,691

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Solution

The third proportional to 121,036 and 258,691 is: 552,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,036 : 258,691 = 258,691 : x
  2. Step 2: Convert to fraction form
    121,036/258,691 = 258,691/x
  3. Step 3: Cross multiply
    121,036x = 258,691 × 258,691
  4. Step 4: Simplify right side
    121,036x = 66,921,033,481
  5. Step 5: Solve for x
    x = 66,921,033,481/121,036
  6. Step 6: Final answer
    x = 552,901.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.