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Finding the Third Proportional to 437,404 and 558,906

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Solution

The third proportional to 437,404 and 558,906 is: 714,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,404 : 558,906 = 558,906 : x
  2. Step 2: Convert to fraction form
    437,404/558,906 = 558,906/x
  3. Step 3: Cross multiply
    437,404x = 558,906 × 558,906
  4. Step 4: Simplify right side
    437,404x = 312,375,916,836
  5. Step 5: Solve for x
    x = 312,375,916,836/437,404
  6. Step 6: Final answer
    x = 714,158.80

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.