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Finding the Third Proportional to 120,342 and 257,762

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Solution

The third proportional to 120,342 and 257,762 is: 552,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,342 : 257,762 = 257,762 : x
  2. Step 2: Convert to fraction form
    120,342/257,762 = 257,762/x
  3. Step 3: Cross multiply
    120,342x = 257,762 × 257,762
  4. Step 4: Simplify right side
    120,342x = 66,441,248,644
  5. Step 5: Solve for x
    x = 66,441,248,644/120,342
  6. Step 6: Final answer
    x = 552,103.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.