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Finding the Third Proportional to 29,905.50 and 64,419

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Solution

The third proportional to 29,905.50 and 64,419 is: 138,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,905.50 : 64,419 = 64,419 : x
  2. Step 2: Convert to fraction form
    29,905.50/64,419 = 64,419/x
  3. Step 3: Cross multiply
    29,905.50x = 64,419 × 64,419
  4. Step 4: Simplify right side
    29,905.50x = 4,149,807,561
  5. Step 5: Solve for x
    x = 4,149,807,561/29,905.50
  6. Step 6: Final answer
    x = 138,764.03

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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.