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Finding the Third Proportional to 559,985 and 861,225

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Solution

The third proportional to 559,985 and 861,225 is: 1,324,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,985 : 861,225 = 861,225 : x
  2. Step 2: Convert to fraction form
    559,985/861,225 = 861,225/x
  3. Step 3: Cross multiply
    559,985x = 861,225 × 861,225
  4. Step 4: Simplify right side
    559,985x = 741,708,500,625
  5. Step 5: Solve for x
    x = 741,708,500,625/559,985
  6. Step 6: Final answer
    x = 1,324,514.94

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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.