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Finding the Third Proportional to 623,634.19 and 868,879.41

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Solution

The third proportional to 623,634.19 and 868,879.41 is: 1,210,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,634.19 : 868,879.41 = 868,879.41 : x
  2. Step 2: Convert to fraction form
    623,634.19/868,879.41 = 868,879.41/x
  3. Step 3: Cross multiply
    623,634.19x = 868,879.41 × 868,879.41
  4. Step 4: Simplify right side
    623,634.19x = 754,951,422,605.35
  5. Step 5: Solve for x
    x = 754,951,422,605.35/623,634.19
  6. Step 6: Final answer
    x = 1,210,567.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.