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Finding the Third Proportional to 218,209 and 296,161.50

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Solution

The third proportional to 218,209 and 296,161.50 is: 401,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,209 : 296,161.50 = 296,161.50 : x
  2. Step 2: Convert to fraction form
    218,209/296,161.50 = 296,161.50/x
  3. Step 3: Cross multiply
    218,209x = 296,161.50 × 296,161.50
  4. Step 4: Simplify right side
    218,209x = 87,711,634,082.25
  5. Step 5: Solve for x
    x = 87,711,634,082.25/218,209
  6. Step 6: Final answer
    x = 401,961.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.