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Finding the Third Proportional to 30,204 and 45,320

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Solution

The third proportional to 30,204 and 45,320 is: 68,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204 : 45,320 = 45,320 : x
  2. Step 2: Convert to fraction form
    30,204/45,320 = 45,320/x
  3. Step 3: Cross multiply
    30,204x = 45,320 × 45,320
  4. Step 4: Simplify right side
    30,204x = 2,053,902,400
  5. Step 5: Solve for x
    x = 2,053,902,400/30,204
  6. Step 6: Final answer
    x = 68,001.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.