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Finding the Third Proportional to 87,393 and 190,659

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Solution

The third proportional to 87,393 and 190,659 is: 415,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,393 : 190,659 = 190,659 : x
  2. Step 2: Convert to fraction form
    87,393/190,659 = 190,659/x
  3. Step 3: Cross multiply
    87,393x = 190,659 × 190,659
  4. Step 4: Simplify right side
    87,393x = 36,350,854,281
  5. Step 5: Solve for x
    x = 36,350,854,281/87,393
  6. Step 6: Final answer
    x = 415,946.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.