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Finding the Third Proportional to 29,980 and 47,640

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Solution

The third proportional to 29,980 and 47,640 is: 75,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980 : 47,640 = 47,640 : x
  2. Step 2: Convert to fraction form
    29,980/47,640 = 47,640/x
  3. Step 3: Cross multiply
    29,980x = 47,640 × 47,640
  4. Step 4: Simplify right side
    29,980x = 2,269,569,600
  5. Step 5: Solve for x
    x = 2,269,569,600/29,980
  6. Step 6: Final answer
    x = 75,702.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.