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Finding the Third Proportional to 542,856 and 782,028

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Solution

The third proportional to 542,856 and 782,028 is: 1,126,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,856 : 782,028 = 782,028 : x
  2. Step 2: Convert to fraction form
    542,856/782,028 = 782,028/x
  3. Step 3: Cross multiply
    542,856x = 782,028 × 782,028
  4. Step 4: Simplify right side
    542,856x = 611,567,792,784
  5. Step 5: Solve for x
    x = 611,567,792,784/542,856
  6. Step 6: Final answer
    x = 1,126,574.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.