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Finding the Third Proportional to 119,972 and 257,400

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Solution

The third proportional to 119,972 and 257,400 is: 552,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,972 : 257,400 = 257,400 : x
  2. Step 2: Convert to fraction form
    119,972/257,400 = 257,400/x
  3. Step 3: Cross multiply
    119,972x = 257,400 × 257,400
  4. Step 4: Simplify right side
    119,972x = 66,254,760,000
  5. Step 5: Solve for x
    x = 66,254,760,000/119,972
  6. Step 6: Final answer
    x = 552,251.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.