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Finding the Third Proportional to 559,474 and 843,856

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Solution

The third proportional to 559,474 and 843,856 is: 1,272,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,474 : 843,856 = 843,856 : x
  2. Step 2: Convert to fraction form
    559,474/843,856 = 843,856/x
  3. Step 3: Cross multiply
    559,474x = 843,856 × 843,856
  4. Step 4: Simplify right side
    559,474x = 712,092,948,736
  5. Step 5: Solve for x
    x = 712,092,948,736/559,474
  6. Step 6: Final answer
    x = 1,272,790.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.