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Finding the Third Proportional to 26,830 and 39,421

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Solution

The third proportional to 26,830 and 39,421 is: 57,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830 : 39,421 = 39,421 : x
  2. Step 2: Convert to fraction form
    26,830/39,421 = 39,421/x
  3. Step 3: Cross multiply
    26,830x = 39,421 × 39,421
  4. Step 4: Simplify right side
    26,830x = 1,554,015,241
  5. Step 5: Solve for x
    x = 1,554,015,241/26,830
  6. Step 6: Final answer
    x = 57,920.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.