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Finding the Third Proportional to 39,703.50 and 66,739.50

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Solution

The third proportional to 39,703.50 and 66,739.50 is: 112,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,703.50 : 66,739.50 = 66,739.50 : x
  2. Step 2: Convert to fraction form
    39,703.50/66,739.50 = 66,739.50/x
  3. Step 3: Cross multiply
    39,703.50x = 66,739.50 × 66,739.50
  4. Step 4: Simplify right side
    39,703.50x = 4,454,160,860.25
  5. Step 5: Solve for x
    x = 4,454,160,860.25/39,703.50
  6. Step 6: Final answer
    x = 112,185.60

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.