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Finding the Third Proportional to 30,778.38 and 66,154.63

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Solution

The third proportional to 30,778.38 and 66,154.63 is: 142,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.38 : 66,154.63 = 66,154.63 : x
  2. Step 2: Convert to fraction form
    30,778.38/66,154.63 = 66,154.63/x
  3. Step 3: Cross multiply
    30,778.38x = 66,154.63 × 66,154.63
  4. Step 4: Simplify right side
    30,778.38x = 4,376,434,408.89
  5. Step 5: Solve for x
    x = 4,376,434,408.89/30,778.38
  6. Step 6: Final answer
    x = 142,191.86

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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.