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Finding the Third Proportional to 149,285 and 231,140

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Solution

The third proportional to 149,285 and 231,140 is: 357,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,285 : 231,140 = 231,140 : x
  2. Step 2: Convert to fraction form
    149,285/231,140 = 231,140/x
  3. Step 3: Cross multiply
    149,285x = 231,140 × 231,140
  4. Step 4: Simplify right side
    149,285x = 53,425,699,600
  5. Step 5: Solve for x
    x = 53,425,699,600/149,285
  6. Step 6: Final answer
    x = 357,877.21

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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.