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Finding the Third Proportional to 40,029.75 and 57,979.13

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Solution

The third proportional to 40,029.75 and 57,979.13 is: 83,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,029.75 : 57,979.13 = 57,979.13 : x
  2. Step 2: Convert to fraction form
    40,029.75/57,979.13 = 57,979.13/x
  3. Step 3: Cross multiply
    40,029.75x = 57,979.13 × 57,979.13
  4. Step 4: Simplify right side
    40,029.75x = 3,361,578,935.77
  5. Step 5: Solve for x
    x = 3,361,578,935.77/40,029.75
  6. Step 6: Final answer
    x = 83,977.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.