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Finding the Third Proportional to 128,459.25 and 270,766.13

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Solution

The third proportional to 128,459.25 and 270,766.13 is: 570,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,459.25 : 270,766.13 = 270,766.13 : x
  2. Step 2: Convert to fraction form
    128,459.25/270,766.13 = 270,766.13/x
  3. Step 3: Cross multiply
    128,459.25x = 270,766.13 × 270,766.13
  4. Step 4: Simplify right side
    128,459.25x = 73,314,294,447.52
  5. Step 5: Solve for x
    x = 73,314,294,447.52/128,459.25
  6. Step 6: Final answer
    x = 570,720.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.