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Finding the Third Proportional to 121,269.38 and 257,847.75

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Solution

The third proportional to 121,269.38 and 257,847.75 is: 548,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,269.38 : 257,847.75 = 257,847.75 : x
  2. Step 2: Convert to fraction form
    121,269.38/257,847.75 = 257,847.75/x
  3. Step 3: Cross multiply
    121,269.38x = 257,847.75 × 257,847.75
  4. Step 4: Simplify right side
    121,269.38x = 66,485,462,180.06
  5. Step 5: Solve for x
    x = 66,485,462,180.06/121,269.38
  6. Step 6: Final answer
    x = 548,246.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.