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Finding the Third Proportional to 30,912 and 67,332

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Solution

The third proportional to 30,912 and 67,332 is: 146,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912 : 67,332 = 67,332 : x
  2. Step 2: Convert to fraction form
    30,912/67,332 = 67,332/x
  3. Step 3: Cross multiply
    30,912x = 67,332 × 67,332
  4. Step 4: Simplify right side
    30,912x = 4,533,598,224
  5. Step 5: Solve for x
    x = 4,533,598,224/30,912
  6. Step 6: Final answer
    x = 146,661.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.