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Finding the Third Proportional to 18,421 and 40,426

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Solution

The third proportional to 18,421 and 40,426 is: 88,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,421 : 40,426 = 40,426 : x
  2. Step 2: Convert to fraction form
    18,421/40,426 = 40,426/x
  3. Step 3: Cross multiply
    18,421x = 40,426 × 40,426
  4. Step 4: Simplify right side
    18,421x = 1,634,261,476
  5. Step 5: Solve for x
    x = 1,634,261,476/18,421
  6. Step 6: Final answer
    x = 88,717.31

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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.