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Finding the Third Proportional to 39,870.75 and 64,240.75

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Solution

The third proportional to 39,870.75 and 64,240.75 is: 103,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,870.75 : 64,240.75 = 64,240.75 : x
  2. Step 2: Convert to fraction form
    39,870.75/64,240.75 = 64,240.75/x
  3. Step 3: Cross multiply
    39,870.75x = 64,240.75 × 64,240.75
  4. Step 4: Simplify right side
    39,870.75x = 4,126,873,960.56
  5. Step 5: Solve for x
    x = 4,126,873,960.56/39,870.75
  6. Step 6: Final answer
    x = 103,506.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.