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Finding the Third Proportional to 121,232 and 249,930

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Solution

The third proportional to 121,232 and 249,930 is: 515,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,232 : 249,930 = 249,930 : x
  2. Step 2: Convert to fraction form
    121,232/249,930 = 249,930/x
  3. Step 3: Cross multiply
    121,232x = 249,930 × 249,930
  4. Step 4: Simplify right side
    121,232x = 62,465,004,900
  5. Step 5: Solve for x
    x = 62,465,004,900/121,232
  6. Step 6: Final answer
    x = 515,251.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.