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Finding the Third Proportional to 30,912 and 48,000

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Solution

The third proportional to 30,912 and 48,000 is: 74,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912 : 48,000 = 48,000 : x
  2. Step 2: Convert to fraction form
    30,912/48,000 = 48,000/x
  3. Step 3: Cross multiply
    30,912x = 48,000 × 48,000
  4. Step 4: Simplify right side
    30,912x = 2,304,000,000
  5. Step 5: Solve for x
    x = 2,304,000,000/30,912
  6. Step 6: Final answer
    x = 74,534.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.