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Finding the Third Proportional to 542,940 and 819,974

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Solution

The third proportional to 542,940 and 819,974 is: 1,238,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,940 : 819,974 = 819,974 : x
  2. Step 2: Convert to fraction form
    542,940/819,974 = 819,974/x
  3. Step 3: Cross multiply
    542,940x = 819,974 × 819,974
  4. Step 4: Simplify right side
    542,940x = 672,357,360,676
  5. Step 5: Solve for x
    x = 672,357,360,676/542,940
  6. Step 6: Final answer
    x = 1,238,364.02

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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.