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Finding the Third Proportional to 21,018 and 29,926

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Solution

The third proportional to 21,018 and 29,926 is: 42,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018 : 29,926 = 29,926 : x
  2. Step 2: Convert to fraction form
    21,018/29,926 = 29,926/x
  3. Step 3: Cross multiply
    21,018x = 29,926 × 29,926
  4. Step 4: Simplify right side
    21,018x = 895,565,476
  5. Step 5: Solve for x
    x = 895,565,476/21,018
  6. Step 6: Final answer
    x = 42,609.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.