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Finding the Third Proportional to 15,740.25 and 34,218.75

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Solution

The third proportional to 15,740.25 and 34,218.75 is: 74,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.25 : 34,218.75 = 34,218.75 : x
  2. Step 2: Convert to fraction form
    15,740.25/34,218.75 = 34,218.75/x
  3. Step 3: Cross multiply
    15,740.25x = 34,218.75 × 34,218.75
  4. Step 4: Simplify right side
    15,740.25x = 1,170,922,851.56
  5. Step 5: Solve for x
    x = 1,170,922,851.56/15,740.25
  6. Step 6: Final answer
    x = 74,390.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.