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Finding the Third Proportional to 161,718 and 331,436

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Solution

The third proportional to 161,718 and 331,436 is: 679,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,718 : 331,436 = 331,436 : x
  2. Step 2: Convert to fraction form
    161,718/331,436 = 331,436/x
  3. Step 3: Cross multiply
    161,718x = 331,436 × 331,436
  4. Step 4: Simplify right side
    161,718x = 109,849,822,096
  5. Step 5: Solve for x
    x = 109,849,822,096/161,718
  6. Step 6: Final answer
    x = 679,267.75

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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.