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Finding the Third Proportional to 30,259 and 62,451

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Solution

The third proportional to 30,259 and 62,451 is: 128,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259 : 62,451 = 62,451 : x
  2. Step 2: Convert to fraction form
    30,259/62,451 = 62,451/x
  3. Step 3: Cross multiply
    30,259x = 62,451 × 62,451
  4. Step 4: Simplify right side
    30,259x = 3,900,127,401
  5. Step 5: Solve for x
    x = 3,900,127,401/30,259
  6. Step 6: Final answer
    x = 128,891.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.