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Finding the Third Proportional to 358,542 and 782,298

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Solution

The third proportional to 358,542 and 782,298 is: 1,706,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,542 : 782,298 = 782,298 : x
  2. Step 2: Convert to fraction form
    358,542/782,298 = 782,298/x
  3. Step 3: Cross multiply
    358,542x = 782,298 × 782,298
  4. Step 4: Simplify right side
    358,542x = 611,990,160,804
  5. Step 5: Solve for x
    x = 611,990,160,804/358,542
  6. Step 6: Final answer
    x = 1,706,885.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.