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Finding the Third Proportional to 558,986 and 871,689

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Solution

The third proportional to 558,986 and 871,689 is: 1,359,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,986 : 871,689 = 871,689 : x
  2. Step 2: Convert to fraction form
    558,986/871,689 = 871,689/x
  3. Step 3: Cross multiply
    558,986x = 871,689 × 871,689
  4. Step 4: Simplify right side
    558,986x = 759,841,712,721
  5. Step 5: Solve for x
    x = 759,841,712,721/558,986
  6. Step 6: Final answer
    x = 1,359,321.54

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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.