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Finding the Third Proportional to 542,939 and 819,972

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Solution

The third proportional to 542,939 and 819,972 is: 1,238,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,939 : 819,972 = 819,972 : x
  2. Step 2: Convert to fraction form
    542,939/819,972 = 819,972/x
  3. Step 3: Cross multiply
    542,939x = 819,972 × 819,972
  4. Step 4: Simplify right side
    542,939x = 672,354,080,784
  5. Step 5: Solve for x
    x = 672,354,080,784/542,939
  6. Step 6: Final answer
    x = 1,238,360.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.