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Finding the Third Proportional to 132,565 and 200,777

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Solution

The third proportional to 132,565 and 200,777 is: 304,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,565 : 200,777 = 200,777 : x
  2. Step 2: Convert to fraction form
    132,565/200,777 = 200,777/x
  3. Step 3: Cross multiply
    132,565x = 200,777 × 200,777
  4. Step 4: Simplify right side
    132,565x = 40,311,403,729
  5. Step 5: Solve for x
    x = 40,311,403,729/132,565
  6. Step 6: Final answer
    x = 304,087.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.