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Finding the Third Proportional to 39,960 and 66,590.25

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Solution

The third proportional to 39,960 and 66,590.25 is: 110,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,960 : 66,590.25 = 66,590.25 : x
  2. Step 2: Convert to fraction form
    39,960/66,590.25 = 66,590.25/x
  3. Step 3: Cross multiply
    39,960x = 66,590.25 × 66,590.25
  4. Step 4: Simplify right side
    39,960x = 4,434,261,395.06
  5. Step 5: Solve for x
    x = 4,434,261,395.06/39,960
  6. Step 6: Final answer
    x = 110,967.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.