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Finding the Third Proportional to 358,456.38 and 782,127.88

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Solution

The third proportional to 358,456.38 and 782,127.88 is: 1,706,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,456.38 : 782,127.88 = 782,127.88 : x
  2. Step 2: Convert to fraction form
    358,456.38/782,127.88 = 782,127.88/x
  3. Step 3: Cross multiply
    358,456.38x = 782,127.88 × 782,127.88
  4. Step 4: Simplify right side
    358,456.38x = 611,724,012,852.02
  5. Step 5: Solve for x
    x = 611,724,012,852.02/358,456.38
  6. Step 6: Final answer
    x = 1,706,550.80

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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.