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Finding the Third Proportional to 257,166 and 552,600

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Solution

The third proportional to 257,166 and 552,600 is: 1,187,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,166 : 552,600 = 552,600 : x
  2. Step 2: Convert to fraction form
    257,166/552,600 = 552,600/x
  3. Step 3: Cross multiply
    257,166x = 552,600 × 552,600
  4. Step 4: Simplify right side
    257,166x = 305,366,760,000
  5. Step 5: Solve for x
    x = 305,366,760,000/257,166
  6. Step 6: Final answer
    x = 1,187,430.53

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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.