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Finding the Third Proportional to 149,230 and 231,411

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Solution

The third proportional to 149,230 and 231,411 is: 358,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,230 : 231,411 = 231,411 : x
  2. Step 2: Convert to fraction form
    149,230/231,411 = 231,411/x
  3. Step 3: Cross multiply
    149,230x = 231,411 × 231,411
  4. Step 4: Simplify right side
    149,230x = 53,551,050,921
  5. Step 5: Solve for x
    x = 53,551,050,921/149,230
  6. Step 6: Final answer
    x = 358,849.10

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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.