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Finding the Third Proportional to 26,858 and 39,315

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Solution

The third proportional to 26,858 and 39,315 is: 57,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858 : 39,315 = 39,315 : x
  2. Step 2: Convert to fraction form
    26,858/39,315 = 39,315/x
  3. Step 3: Cross multiply
    26,858x = 39,315 × 39,315
  4. Step 4: Simplify right side
    26,858x = 1,545,669,225
  5. Step 5: Solve for x
    x = 1,545,669,225/26,858
  6. Step 6: Final answer
    x = 57,549.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.