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Finding the Third Proportional to 87,322.50 and 190,521

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Solution

The third proportional to 87,322.50 and 190,521 is: 415,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,322.50 : 190,521 = 190,521 : x
  2. Step 2: Convert to fraction form
    87,322.50/190,521 = 190,521/x
  3. Step 3: Cross multiply
    87,322.50x = 190,521 × 190,521
  4. Step 4: Simplify right side
    87,322.50x = 36,298,251,441
  5. Step 5: Solve for x
    x = 36,298,251,441/87,322.50
  6. Step 6: Final answer
    x = 415,680.40

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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.