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Finding the Third Proportional to 39,776 and 87,205

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Solution

The third proportional to 39,776 and 87,205 is: 191,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,776 : 87,205 = 87,205 : x
  2. Step 2: Convert to fraction form
    39,776/87,205 = 87,205/x
  3. Step 3: Cross multiply
    39,776x = 87,205 × 87,205
  4. Step 4: Simplify right side
    39,776x = 7,604,712,025
  5. Step 5: Solve for x
    x = 7,604,712,025/39,776
  6. Step 6: Final answer
    x = 191,188.46

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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.