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Finding the Third Proportional to 161,243 and 254,231

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Solution

The third proportional to 161,243 and 254,231 is: 400,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,243 : 254,231 = 254,231 : x
  2. Step 2: Convert to fraction form
    161,243/254,231 = 254,231/x
  3. Step 3: Cross multiply
    161,243x = 254,231 × 254,231
  4. Step 4: Simplify right side
    161,243x = 64,633,401,361
  5. Step 5: Solve for x
    x = 64,633,401,361/161,243
  6. Step 6: Final answer
    x = 400,844.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.