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Finding the Third Proportional to 819,164.25 and 1,282,207.50

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Solution

The third proportional to 819,164.25 and 1,282,207.50 is: 2,006,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,164.25 : 1,282,207.50 = 1,282,207.50 : x
  2. Step 2: Convert to fraction form
    819,164.25/1,282,207.50 = 1,282,207.50/x
  3. Step 3: Cross multiply
    819,164.25x = 1,282,207.50 × 1,282,207.50
  4. Step 4: Simplify right side
    819,164.25x = 1,644,056,073,056.25
  5. Step 5: Solve for x
    x = 1,644,056,073,056.25/819,164.25
  6. Step 6: Final answer
    x = 2,006,991.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.