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Finding the Third Proportional to 87,321 and 190,988.25

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Solution

The third proportional to 87,321 and 190,988.25 is: 417,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,321 : 190,988.25 = 190,988.25 : x
  2. Step 2: Convert to fraction form
    87,321/190,988.25 = 190,988.25/x
  3. Step 3: Cross multiply
    87,321x = 190,988.25 × 190,988.25
  4. Step 4: Simplify right side
    87,321x = 36,476,511,638.06
  5. Step 5: Solve for x
    x = 36,476,511,638.06/87,321
  6. Step 6: Final answer
    x = 417,728.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.