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Finding the Third Proportional to 868,639.50 and 1,253,117.25

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Solution

The third proportional to 868,639.50 and 1,253,117.25 is: 1,807,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,639.50 : 1,253,117.25 = 1,253,117.25 : x
  2. Step 2: Convert to fraction form
    868,639.50/1,253,117.25 = 1,253,117.25/x
  3. Step 3: Cross multiply
    868,639.50x = 1,253,117.25 × 1,253,117.25
  4. Step 4: Simplify right side
    868,639.50x = 1,570,302,842,247.56
  5. Step 5: Solve for x
    x = 1,570,302,842,247.56/868,639.50
  6. Step 6: Final answer
    x = 1,807,772.78

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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.