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Finding the Third Proportional to 149,487 and 201,390

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Solution

The third proportional to 149,487 and 201,390 is: 271,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,487 : 201,390 = 201,390 : x
  2. Step 2: Convert to fraction form
    149,487/201,390 = 201,390/x
  3. Step 3: Cross multiply
    149,487x = 201,390 × 201,390
  4. Step 4: Simplify right side
    149,487x = 40,557,932,100
  5. Step 5: Solve for x
    x = 40,557,932,100/149,487
  6. Step 6: Final answer
    x = 271,314.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.