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Finding the Third Proportional to 121,202 and 283,077

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Solution

The third proportional to 121,202 and 283,077 is: 661,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,202 : 283,077 = 283,077 : x
  2. Step 2: Convert to fraction form
    121,202/283,077 = 283,077/x
  3. Step 3: Cross multiply
    121,202x = 283,077 × 283,077
  4. Step 4: Simplify right side
    121,202x = 80,132,587,929
  5. Step 5: Solve for x
    x = 80,132,587,929/121,202
  6. Step 6: Final answer
    x = 661,149.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.