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Finding the Third Proportional to 29,830 and 64,331

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Solution

The third proportional to 29,830 and 64,331 is: 138,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830 : 64,331 = 64,331 : x
  2. Step 2: Convert to fraction form
    29,830/64,331 = 64,331/x
  3. Step 3: Cross multiply
    29,830x = 64,331 × 64,331
  4. Step 4: Simplify right side
    29,830x = 4,138,477,561
  5. Step 5: Solve for x
    x = 4,138,477,561/29,830
  6. Step 6: Final answer
    x = 138,735.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.