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Finding the Third Proportional to 809,524 and 1,207,720

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Solution

The third proportional to 809,524 and 1,207,720 is: 1,801,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,524 : 1,207,720 = 1,207,720 : x
  2. Step 2: Convert to fraction form
    809,524/1,207,720 = 1,207,720/x
  3. Step 3: Cross multiply
    809,524x = 1,207,720 × 1,207,720
  4. Step 4: Simplify right side
    809,524x = 1,458,587,598,400
  5. Step 5: Solve for x
    x = 1,458,587,598,400/809,524
  6. Step 6: Final answer
    x = 1,801,784.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.