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Finding the Third Proportional to 457,812 and 709,722

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Solution

The third proportional to 457,812 and 709,722 is: 1,100,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,812 : 709,722 = 709,722 : x
  2. Step 2: Convert to fraction form
    457,812/709,722 = 709,722/x
  3. Step 3: Cross multiply
    457,812x = 709,722 × 709,722
  4. Step 4: Simplify right side
    457,812x = 503,705,317,284
  5. Step 5: Solve for x
    x = 503,705,317,284/457,812
  6. Step 6: Final answer
    x = 1,100,244.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.