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Finding the Third Proportional to 21,235 and 39,418

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Solution

The third proportional to 21,235 and 39,418 is: 73,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235 : 39,418 = 39,418 : x
  2. Step 2: Convert to fraction form
    21,235/39,418 = 39,418/x
  3. Step 3: Cross multiply
    21,235x = 39,418 × 39,418
  4. Step 4: Simplify right side
    21,235x = 1,553,778,724
  5. Step 5: Solve for x
    x = 1,553,778,724/21,235
  6. Step 6: Final answer
    x = 73,170.65

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.