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Finding the Third Proportional to 30,851.25 and 66,987.75

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Solution

The third proportional to 30,851.25 and 66,987.75 is: 145,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.25 : 66,987.75 = 66,987.75 : x
  2. Step 2: Convert to fraction form
    30,851.25/66,987.75 = 66,987.75/x
  3. Step 3: Cross multiply
    30,851.25x = 66,987.75 × 66,987.75
  4. Step 4: Simplify right side
    30,851.25x = 4,487,358,650.06
  5. Step 5: Solve for x
    x = 4,487,358,650.06/30,851.25
  6. Step 6: Final answer
    x = 145,451.44

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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.