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Finding the Third Proportional to 29,786 and 64,180

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Solution

The third proportional to 29,786 and 64,180 is: 138,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786 : 64,180 = 64,180 : x
  2. Step 2: Convert to fraction form
    29,786/64,180 = 64,180/x
  3. Step 3: Cross multiply
    29,786x = 64,180 × 64,180
  4. Step 4: Simplify right side
    29,786x = 4,119,072,400
  5. Step 5: Solve for x
    x = 4,119,072,400/29,786
  6. Step 6: Final answer
    x = 138,288.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.