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Finding the Third Proportional to 209,988 and 282,906

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Solution

The third proportional to 209,988 and 282,906 is: 381,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,988 : 282,906 = 282,906 : x
  2. Step 2: Convert to fraction form
    209,988/282,906 = 282,906/x
  3. Step 3: Cross multiply
    209,988x = 282,906 × 282,906
  4. Step 4: Simplify right side
    209,988x = 80,035,804,836
  5. Step 5: Solve for x
    x = 80,035,804,836/209,988
  6. Step 6: Final answer
    x = 381,144.66

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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.