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Finding the Third Proportional to 217,878.75 and 297,037.69

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Solution

The third proportional to 217,878.75 and 297,037.69 is: 404,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,878.75 : 297,037.69 = 297,037.69 : x
  2. Step 2: Convert to fraction form
    217,878.75/297,037.69 = 297,037.69/x
  3. Step 3: Cross multiply
    217,878.75x = 297,037.69 × 297,037.69
  4. Step 4: Simplify right side
    217,878.75x = 88,231,387,795.35
  5. Step 5: Solve for x
    x = 88,231,387,795.35/217,878.75
  6. Step 6: Final answer
    x = 404,956.37

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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.