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Finding the Third Proportional to 18,587.81 and 38,993.06

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Solution

The third proportional to 18,587.81 and 38,993.06 is: 81,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,587.81 : 38,993.06 = 38,993.06 : x
  2. Step 2: Convert to fraction form
    18,587.81/38,993.06 = 38,993.06/x
  3. Step 3: Cross multiply
    18,587.81x = 38,993.06 × 38,993.06
  4. Step 4: Simplify right side
    18,587.81x = 1,520,458,923.13
  5. Step 5: Solve for x
    x = 1,520,458,923.13/18,587.81
  6. Step 6: Final answer
    x = 81,798.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.