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Finding the Third Proportional to 121,139.75 and 265,452

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Solution

The third proportional to 121,139.75 and 265,452 is: 581,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,139.75 : 265,452 = 265,452 : x
  2. Step 2: Convert to fraction form
    121,139.75/265,452 = 265,452/x
  3. Step 3: Cross multiply
    121,139.75x = 265,452 × 265,452
  4. Step 4: Simplify right side
    121,139.75x = 70,464,764,304
  5. Step 5: Solve for x
    x = 70,464,764,304/121,139.75
  6. Step 6: Final answer
    x = 581,681.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.