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Finding the Third Proportional to 257,229 and 382,112

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Solution

The third proportional to 257,229 and 382,112 is: 567,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,229 : 382,112 = 382,112 : x
  2. Step 2: Convert to fraction form
    257,229/382,112 = 382,112/x
  3. Step 3: Cross multiply
    257,229x = 382,112 × 382,112
  4. Step 4: Simplify right side
    257,229x = 146,009,580,544
  5. Step 5: Solve for x
    x = 146,009,580,544/257,229
  6. Step 6: Final answer
    x = 567,624.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.