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Finding the Third Proportional to 87,835.50 and 191,709

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Solution

The third proportional to 87,835.50 and 191,709 is: 418,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,835.50 : 191,709 = 191,709 : x
  2. Step 2: Convert to fraction form
    87,835.50/191,709 = 191,709/x
  3. Step 3: Cross multiply
    87,835.50x = 191,709 × 191,709
  4. Step 4: Simplify right side
    87,835.50x = 36,752,340,681
  5. Step 5: Solve for x
    x = 36,752,340,681/87,835.50
  6. Step 6: Final answer
    x = 418,422.40

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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.