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Finding the Third Proportional to 29,649 and 69,988

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Solution

The third proportional to 29,649 and 69,988 is: 165,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649 : 69,988 = 69,988 : x
  2. Step 2: Convert to fraction form
    29,649/69,988 = 69,988/x
  3. Step 3: Cross multiply
    29,649x = 69,988 × 69,988
  4. Step 4: Simplify right side
    29,649x = 4,898,320,144
  5. Step 5: Solve for x
    x = 4,898,320,144/29,649
  6. Step 6: Final answer
    x = 165,210.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.