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Finding the Third Proportional to 161,714 and 331,428

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Solution

The third proportional to 161,714 and 331,428 is: 679,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,714 : 331,428 = 331,428 : x
  2. Step 2: Convert to fraction form
    161,714/331,428 = 331,428/x
  3. Step 3: Cross multiply
    161,714x = 331,428 × 331,428
  4. Step 4: Simplify right side
    161,714x = 109,844,519,184
  5. Step 5: Solve for x
    x = 109,844,519,184/161,714
  6. Step 6: Final answer
    x = 679,251.76

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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.