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Finding the Third Proportional to 18,553 and 40,659

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Solution

The third proportional to 18,553 and 40,659 is: 89,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553 : 40,659 = 40,659 : x
  2. Step 2: Convert to fraction form
    18,553/40,659 = 40,659/x
  3. Step 3: Cross multiply
    18,553x = 40,659 × 40,659
  4. Step 4: Simplify right side
    18,553x = 1,653,154,281
  5. Step 5: Solve for x
    x = 1,653,154,281/18,553
  6. Step 6: Final answer
    x = 89,104.42

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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.