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Finding the Third Proportional to 30,650 and 67,320

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Solution

The third proportional to 30,650 and 67,320 is: 147,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650 : 67,320 = 67,320 : x
  2. Step 2: Convert to fraction form
    30,650/67,320 = 67,320/x
  3. Step 3: Cross multiply
    30,650x = 67,320 × 67,320
  4. Step 4: Simplify right side
    30,650x = 4,531,982,400
  5. Step 5: Solve for x
    x = 4,531,982,400/30,650
  6. Step 6: Final answer
    x = 147,862.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.