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Finding the Third Proportional to 247,647.38 and 542,763.28

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Solution

The third proportional to 247,647.38 and 542,763.28 is: 1,189,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,647.38 : 542,763.28 = 542,763.28 : x
  2. Step 2: Convert to fraction form
    247,647.38/542,763.28 = 542,763.28/x
  3. Step 3: Cross multiply
    247,647.38x = 542,763.28 × 542,763.28
  4. Step 4: Simplify right side
    247,647.38x = 294,591,979,473.27
  5. Step 5: Solve for x
    x = 294,591,979,473.27/247,647.38
  6. Step 6: Final answer
    x = 1,189,562.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.