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Finding the Third Proportional to 120,618 and 257,267

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Solution

The third proportional to 120,618 and 257,267 is: 548,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,618 : 257,267 = 257,267 : x
  2. Step 2: Convert to fraction form
    120,618/257,267 = 257,267/x
  3. Step 3: Cross multiply
    120,618x = 257,267 × 257,267
  4. Step 4: Simplify right side
    120,618x = 66,186,309,289
  5. Step 5: Solve for x
    x = 66,186,309,289/120,618
  6. Step 6: Final answer
    x = 548,726.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.