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Finding the Third Proportional to 29,820 and 64,208

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Solution

The third proportional to 29,820 and 64,208 is: 138,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820 : 64,208 = 64,208 : x
  2. Step 2: Convert to fraction form
    29,820/64,208 = 64,208/x
  3. Step 3: Cross multiply
    29,820x = 64,208 × 64,208
  4. Step 4: Simplify right side
    29,820x = 4,122,667,264
  5. Step 5: Solve for x
    x = 4,122,667,264/29,820
  6. Step 6: Final answer
    x = 138,251.75

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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.