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Finding the Third Proportional to 286,687.50 and 400,979.25

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Solution

The third proportional to 286,687.50 and 400,979.25 is: 560,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,687.50 : 400,979.25 = 400,979.25 : x
  2. Step 2: Convert to fraction form
    286,687.50/400,979.25 = 400,979.25/x
  3. Step 3: Cross multiply
    286,687.50x = 400,979.25 × 400,979.25
  4. Step 4: Simplify right side
    286,687.50x = 160,784,358,930.56
  5. Step 5: Solve for x
    x = 160,784,358,930.56/286,687.50
  6. Step 6: Final answer
    x = 560,834.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.