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Finding the Third Proportional to 121,321.88 and 263,602.13

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Solution

The third proportional to 121,321.88 and 263,602.13 is: 572,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,321.88 : 263,602.13 = 263,602.13 : x
  2. Step 2: Convert to fraction form
    121,321.88/263,602.13 = 263,602.13/x
  3. Step 3: Cross multiply
    121,321.88x = 263,602.13 × 263,602.13
  4. Step 4: Simplify right side
    121,321.88x = 69,486,080,304.52
  5. Step 5: Solve for x
    x = 69,486,080,304.52/121,321.88
  6. Step 6: Final answer
    x = 572,741.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.