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Finding the Third Proportional to 30,788.06 and 66,180.47

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Solution

The third proportional to 30,788.06 and 66,180.47 is: 142,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.06 : 66,180.47 = 66,180.47 : x
  2. Step 2: Convert to fraction form
    30,788.06/66,180.47 = 66,180.47/x
  3. Step 3: Cross multiply
    30,788.06x = 66,180.47 × 66,180.47
  4. Step 4: Simplify right side
    30,788.06x = 4,379,854,443.97
  5. Step 5: Solve for x
    x = 4,379,854,443.97/30,788.06
  6. Step 6: Final answer
    x = 142,258.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.