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Finding the Third Proportional to 29,289 and 64,131

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Solution

The third proportional to 29,289 and 64,131 is: 140,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,289 : 64,131 = 64,131 : x
  2. Step 2: Convert to fraction form
    29,289/64,131 = 64,131/x
  3. Step 3: Cross multiply
    29,289x = 64,131 × 64,131
  4. Step 4: Simplify right side
    29,289x = 4,112,785,161
  5. Step 5: Solve for x
    x = 4,112,785,161/29,289
  6. Step 6: Final answer
    x = 140,420.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.