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Finding the Third Proportional to 149,214 and 231,385

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Solution

The third proportional to 149,214 and 231,385 is: 358,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,214 : 231,385 = 231,385 : x
  2. Step 2: Convert to fraction form
    149,214/231,385 = 231,385/x
  3. Step 3: Cross multiply
    149,214x = 231,385 × 231,385
  4. Step 4: Simplify right side
    149,214x = 53,539,018,225
  5. Step 5: Solve for x
    x = 53,539,018,225/149,214
  6. Step 6: Final answer
    x = 358,806.94

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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.