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Finding the Third Proportional to 102,118 and 165,785

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Solution

The third proportional to 102,118 and 165,785 is: 269,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,118 : 165,785 = 165,785 : x
  2. Step 2: Convert to fraction form
    102,118/165,785 = 165,785/x
  3. Step 3: Cross multiply
    102,118x = 165,785 × 165,785
  4. Step 4: Simplify right side
    102,118x = 27,484,666,225
  5. Step 5: Solve for x
    x = 27,484,666,225/102,118
  6. Step 6: Final answer
    x = 269,146.15

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.