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Finding the Third Proportional to 18,117 and 38,913.75

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Solution

The third proportional to 18,117 and 38,913.75 is: 83,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117 : 38,913.75 = 38,913.75 : x
  2. Step 2: Convert to fraction form
    18,117/38,913.75 = 38,913.75/x
  3. Step 3: Cross multiply
    18,117x = 38,913.75 × 38,913.75
  4. Step 4: Simplify right side
    18,117x = 1,514,279,939.06
  5. Step 5: Solve for x
    x = 1,514,279,939.06/18,117
  6. Step 6: Final answer
    x = 83,583.37

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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.