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Finding the Third Proportional to 229,520.25 and 344,280.38

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Solution

The third proportional to 229,520.25 and 344,280.38 is: 516,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,520.25 : 344,280.38 = 344,280.38 : x
  2. Step 2: Convert to fraction form
    229,520.25/344,280.38 = 344,280.38/x
  3. Step 3: Cross multiply
    229,520.25x = 344,280.38 × 344,280.38
  4. Step 4: Simplify right side
    229,520.25x = 118,528,976,610.14
  5. Step 5: Solve for x
    x = 118,528,976,610.14/229,520.25
  6. Step 6: Final answer
    x = 516,420.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.