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Finding the Third Proportional to 39,616 and 87,007

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Solution

The third proportional to 39,616 and 87,007 is: 191,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,616 : 87,007 = 87,007 : x
  2. Step 2: Convert to fraction form
    39,616/87,007 = 87,007/x
  3. Step 3: Cross multiply
    39,616x = 87,007 × 87,007
  4. Step 4: Simplify right side
    39,616x = 7,570,218,049
  5. Step 5: Solve for x
    x = 7,570,218,049/39,616
  6. Step 6: Final answer
    x = 191,089.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.