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Finding the Third Proportional to 561,482 and 863,907

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Solution

The third proportional to 561,482 and 863,907 is: 1,329,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,482 : 863,907 = 863,907 : x
  2. Step 2: Convert to fraction form
    561,482/863,907 = 863,907/x
  3. Step 3: Cross multiply
    561,482x = 863,907 × 863,907
  4. Step 4: Simplify right side
    561,482x = 746,335,304,649
  5. Step 5: Solve for x
    x = 746,335,304,649/561,482
  6. Step 6: Final answer
    x = 1,329,223.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.