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Finding the Third Proportional to 132,670 and 205,431

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Solution

The third proportional to 132,670 and 205,431 is: 318,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,670 : 205,431 = 205,431 : x
  2. Step 2: Convert to fraction form
    132,670/205,431 = 205,431/x
  3. Step 3: Cross multiply
    132,670x = 205,431 × 205,431
  4. Step 4: Simplify right side
    132,670x = 42,201,895,761
  5. Step 5: Solve for x
    x = 42,201,895,761/132,670
  6. Step 6: Final answer
    x = 318,096.75

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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.