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Finding the Third Proportional to 99,336.38 and 212,878.13

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Solution

The third proportional to 99,336.38 and 212,878.13 is: 456,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,336.38 : 212,878.13 = 212,878.13 : x
  2. Step 2: Convert to fraction form
    99,336.38/212,878.13 = 212,878.13/x
  3. Step 3: Cross multiply
    99,336.38x = 212,878.13 × 212,878.13
  4. Step 4: Simplify right side
    99,336.38x = 45,317,096,103.52
  5. Step 5: Solve for x
    x = 45,317,096,103.52/99,336.38
  6. Step 6: Final answer
    x = 456,198.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.