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Finding the Third Proportional to 161,716 and 331,432

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Solution

The third proportional to 161,716 and 331,432 is: 679,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,716 : 331,432 = 331,432 : x
  2. Step 2: Convert to fraction form
    161,716/331,432 = 331,432/x
  3. Step 3: Cross multiply
    161,716x = 331,432 × 331,432
  4. Step 4: Simplify right side
    161,716x = 109,847,170,624
  5. Step 5: Solve for x
    x = 109,847,170,624/161,716
  6. Step 6: Final answer
    x = 679,259.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.