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Finding the Third Proportional to 87,756 and 189,521.63

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Solution

The third proportional to 87,756 and 189,521.63 is: 409,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,756 : 189,521.63 = 189,521.63 : x
  2. Step 2: Convert to fraction form
    87,756/189,521.63 = 189,521.63/x
  3. Step 3: Cross multiply
    87,756x = 189,521.63 × 189,521.63
  4. Step 4: Simplify right side
    87,756x = 35,918,446,342.64
  5. Step 5: Solve for x
    x = 35,918,446,342.64/87,756
  6. Step 6: Final answer
    x = 409,299.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.