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Finding the Third Proportional to 109,818 and 164,235

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Solution

The third proportional to 109,818 and 164,235 is: 245,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,818 : 164,235 = 164,235 : x
  2. Step 2: Convert to fraction form
    109,818/164,235 = 164,235/x
  3. Step 3: Cross multiply
    109,818x = 164,235 × 164,235
  4. Step 4: Simplify right side
    109,818x = 26,973,135,225
  5. Step 5: Solve for x
    x = 26,973,135,225/109,818
  6. Step 6: Final answer
    x = 245,616.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.