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Finding the Third Proportional to 126,259.38 and 280,545.40

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Solution

The third proportional to 126,259.38 and 280,545.40 is: 623,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,259.38 : 280,545.40 = 280,545.40 : x
  2. Step 2: Convert to fraction form
    126,259.38/280,545.40 = 280,545.40/x
  3. Step 3: Cross multiply
    126,259.38x = 280,545.40 × 280,545.40
  4. Step 4: Simplify right side
    126,259.38x = 78,705,720,584.46
  5. Step 5: Solve for x
    x = 78,705,720,584.46/126,259.38
  6. Step 6: Final answer
    x = 623,365.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.