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Finding the Third Proportional to 120,060 and 257,614

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Solution

The third proportional to 120,060 and 257,614 is: 552,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,060 : 257,614 = 257,614 : x
  2. Step 2: Convert to fraction form
    120,060/257,614 = 257,614/x
  3. Step 3: Cross multiply
    120,060x = 257,614 × 257,614
  4. Step 4: Simplify right side
    120,060x = 66,364,972,996
  5. Step 5: Solve for x
    x = 66,364,972,996/120,060
  6. Step 6: Final answer
    x = 552,765.06

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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.