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Finding the Third Proportional to 18,681 and 40,643

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Solution

The third proportional to 18,681 and 40,643 is: 88,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681 : 40,643 = 40,643 : x
  2. Step 2: Convert to fraction form
    18,681/40,643 = 40,643/x
  3. Step 3: Cross multiply
    18,681x = 40,643 × 40,643
  4. Step 4: Simplify right side
    18,681x = 1,651,853,449
  5. Step 5: Solve for x
    x = 1,651,853,449/18,681
  6. Step 6: Final answer
    x = 88,424.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.