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Finding the Third Proportional to 161,658 and 381,074

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Solution

The third proportional to 161,658 and 381,074 is: 898,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,658 : 381,074 = 381,074 : x
  2. Step 2: Convert to fraction form
    161,658/381,074 = 381,074/x
  3. Step 3: Cross multiply
    161,658x = 381,074 × 381,074
  4. Step 4: Simplify right side
    161,658x = 145,217,393,476
  5. Step 5: Solve for x
    x = 145,217,393,476/161,658
  6. Step 6: Final answer
    x = 898,300.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.