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Finding the Third Proportional to 161,206 and 250,455

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Solution

The third proportional to 161,206 and 250,455 is: 389,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,206 : 250,455 = 250,455 : x
  2. Step 2: Convert to fraction form
    161,206/250,455 = 250,455/x
  3. Step 3: Cross multiply
    161,206x = 250,455 × 250,455
  4. Step 4: Simplify right side
    161,206x = 62,727,707,025
  5. Step 5: Solve for x
    x = 62,727,707,025/161,206
  6. Step 6: Final answer
    x = 389,115.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.