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Finding the Third Proportional to 199,803.38 and 428,037.75

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Solution

The third proportional to 199,803.38 and 428,037.75 is: 916,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,803.38 : 428,037.75 = 428,037.75 : x
  2. Step 2: Convert to fraction form
    199,803.38/428,037.75 = 428,037.75/x
  3. Step 3: Cross multiply
    199,803.38x = 428,037.75 × 428,037.75
  4. Step 4: Simplify right side
    199,803.38x = 183,216,315,425.06
  5. Step 5: Solve for x
    x = 183,216,315,425.06/199,803.38
  6. Step 6: Final answer
    x = 916,983.09

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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.