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Finding the Third Proportional to 149,328 and 231,214

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Solution

The third proportional to 149,328 and 231,214 is: 358,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,328 : 231,214 = 231,214 : x
  2. Step 2: Convert to fraction form
    149,328/231,214 = 231,214/x
  3. Step 3: Cross multiply
    149,328x = 231,214 × 231,214
  4. Step 4: Simplify right side
    149,328x = 53,459,913,796
  5. Step 5: Solve for x
    x = 53,459,913,796/149,328
  6. Step 6: Final answer
    x = 358,003.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.