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Finding the Third Proportional to 18,155 and 39,703

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Solution

The third proportional to 18,155 and 39,703 is: 86,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,155 : 39,703 = 39,703 : x
  2. Step 2: Convert to fraction form
    18,155/39,703 = 39,703/x
  3. Step 3: Cross multiply
    18,155x = 39,703 × 39,703
  4. Step 4: Simplify right side
    18,155x = 1,576,328,209
  5. Step 5: Solve for x
    x = 1,576,328,209/18,155
  6. Step 6: Final answer
    x = 86,826.12

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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.