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Finding the Third Proportional to 135,920 and 206,877

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Solution

The third proportional to 135,920 and 206,877 is: 314,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,920 : 206,877 = 206,877 : x
  2. Step 2: Convert to fraction form
    135,920/206,877 = 206,877/x
  3. Step 3: Cross multiply
    135,920x = 206,877 × 206,877
  4. Step 4: Simplify right side
    135,920x = 42,798,093,129
  5. Step 5: Solve for x
    x = 42,798,093,129/135,920
  6. Step 6: Final answer
    x = 314,877.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.