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Finding the Third Proportional to 156,478 and 337,903

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Solution

The third proportional to 156,478 and 337,903 is: 729,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,478 : 337,903 = 337,903 : x
  2. Step 2: Convert to fraction form
    156,478/337,903 = 337,903/x
  3. Step 3: Cross multiply
    156,478x = 337,903 × 337,903
  4. Step 4: Simplify right side
    156,478x = 114,178,437,409
  5. Step 5: Solve for x
    x = 114,178,437,409/156,478
  6. Step 6: Final answer
    x = 729,677.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.