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Finding the Third Proportional to 30,632 and 47,280

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Solution

The third proportional to 30,632 and 47,280 is: 72,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,632 : 47,280 = 47,280 : x
  2. Step 2: Convert to fraction form
    30,632/47,280 = 47,280/x
  3. Step 3: Cross multiply
    30,632x = 47,280 × 47,280
  4. Step 4: Simplify right side
    30,632x = 2,235,398,400
  5. Step 5: Solve for x
    x = 2,235,398,400/30,632
  6. Step 6: Final answer
    x = 72,975.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.