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Finding the Third Proportional to 542,028 and 817,040

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Solution

The third proportional to 542,028 and 817,040 is: 1,231,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,028 : 817,040 = 817,040 : x
  2. Step 2: Convert to fraction form
    542,028/817,040 = 817,040/x
  3. Step 3: Cross multiply
    542,028x = 817,040 × 817,040
  4. Step 4: Simplify right side
    542,028x = 667,554,361,600
  5. Step 5: Solve for x
    x = 667,554,361,600/542,028
  6. Step 6: Final answer
    x = 1,231,586.49

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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.