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Finding the Third Proportional to 30,320 and 66,147

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Solution

The third proportional to 30,320 and 66,147 is: 144,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,320 : 66,147 = 66,147 : x
  2. Step 2: Convert to fraction form
    30,320/66,147 = 66,147/x
  3. Step 3: Cross multiply
    30,320x = 66,147 × 66,147
  4. Step 4: Simplify right side
    30,320x = 4,375,425,609
  5. Step 5: Solve for x
    x = 4,375,425,609/30,320
  6. Step 6: Final answer
    x = 144,308.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.