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Finding the Third Proportional to 125,988 and 206,208

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Solution

The third proportional to 125,988 and 206,208 is: 337,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,988 : 206,208 = 206,208 : x
  2. Step 2: Convert to fraction form
    125,988/206,208 = 206,208/x
  3. Step 3: Cross multiply
    125,988x = 206,208 × 206,208
  4. Step 4: Simplify right side
    125,988x = 42,521,739,264
  5. Step 5: Solve for x
    x = 42,521,739,264/125,988
  6. Step 6: Final answer
    x = 337,506.26

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.