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Finding the Third Proportional to 29,970 and 62,775

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Solution

The third proportional to 29,970 and 62,775 is: 131,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970 : 62,775 = 62,775 : x
  2. Step 2: Convert to fraction form
    29,970/62,775 = 62,775/x
  3. Step 3: Cross multiply
    29,970x = 62,775 × 62,775
  4. Step 4: Simplify right side
    29,970x = 3,940,700,625
  5. Step 5: Solve for x
    x = 3,940,700,625/29,970
  6. Step 6: Final answer
    x = 131,488.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.