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Finding the Third Proportional to 87,428 and 191,668

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Solution

The third proportional to 87,428 and 191,668 is: 420,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,428 : 191,668 = 191,668 : x
  2. Step 2: Convert to fraction form
    87,428/191,668 = 191,668/x
  3. Step 3: Cross multiply
    87,428x = 191,668 × 191,668
  4. Step 4: Simplify right side
    87,428x = 36,736,622,224
  5. Step 5: Solve for x
    x = 36,736,622,224/87,428
  6. Step 6: Final answer
    x = 420,192.87

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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.