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Finding the Third Proportional to 39,385 and 86,426

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Solution

The third proportional to 39,385 and 86,426 is: 189,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,385 : 86,426 = 86,426 : x
  2. Step 2: Convert to fraction form
    39,385/86,426 = 86,426/x
  3. Step 3: Cross multiply
    39,385x = 86,426 × 86,426
  4. Step 4: Simplify right side
    39,385x = 7,469,453,476
  5. Step 5: Solve for x
    x = 7,469,453,476/39,385
  6. Step 6: Final answer
    x = 189,652.24

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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.