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Finding the Third Proportional to 809,520 and 1,207,719

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Solution

The third proportional to 809,520 and 1,207,719 is: 1,801,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,520 : 1,207,719 = 1,207,719 : x
  2. Step 2: Convert to fraction form
    809,520/1,207,719 = 1,207,719/x
  3. Step 3: Cross multiply
    809,520x = 1,207,719 × 1,207,719
  4. Step 4: Simplify right side
    809,520x = 1,458,585,182,961
  5. Step 5: Solve for x
    x = 1,458,585,182,961/809,520
  6. Step 6: Final answer
    x = 1,801,790.18

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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.