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Finding the Third Proportional to 721,286 and 1,122,754

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Solution

The third proportional to 721,286 and 1,122,754 is: 1,747,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,286 : 1,122,754 = 1,122,754 : x
  2. Step 2: Convert to fraction form
    721,286/1,122,754 = 1,122,754/x
  3. Step 3: Cross multiply
    721,286x = 1,122,754 × 1,122,754
  4. Step 4: Simplify right side
    721,286x = 1,260,576,544,516
  5. Step 5: Solve for x
    x = 1,260,576,544,516/721,286
  6. Step 6: Final answer
    x = 1,747,679.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.