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Finding the Third Proportional to 88,822 and 193,310

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Solution

The third proportional to 88,822 and 193,310 is: 420,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,822 : 193,310 = 193,310 : x
  2. Step 2: Convert to fraction form
    88,822/193,310 = 193,310/x
  3. Step 3: Cross multiply
    88,822x = 193,310 × 193,310
  4. Step 4: Simplify right side
    88,822x = 37,368,756,100
  5. Step 5: Solve for x
    x = 37,368,756,100/88,822
  6. Step 6: Final answer
    x = 420,715.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.