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Finding the Third Proportional to 18,657.84 and 40,203.21

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Solution

The third proportional to 18,657.84 and 40,203.21 is: 86,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.84 : 40,203.21 = 40,203.21 : x
  2. Step 2: Convert to fraction form
    18,657.84/40,203.21 = 40,203.21/x
  3. Step 3: Cross multiply
    18,657.84x = 40,203.21 × 40,203.21
  4. Step 4: Simplify right side
    18,657.84x = 1,616,298,169.69
  5. Step 5: Solve for x
    x = 1,616,298,169.69/18,657.84
  6. Step 6: Final answer
    x = 86,628.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.