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Finding the Third Proportional to 86,988 and 133,290

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Solution

The third proportional to 86,988 and 133,290 is: 204,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,988 : 133,290 = 133,290 : x
  2. Step 2: Convert to fraction form
    86,988/133,290 = 133,290/x
  3. Step 3: Cross multiply
    86,988x = 133,290 × 133,290
  4. Step 4: Simplify right side
    86,988x = 17,766,224,100
  5. Step 5: Solve for x
    x = 17,766,224,100/86,988
  6. Step 6: Final answer
    x = 204,237.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.