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Finding the Third Proportional to 199,791.56 and 428,014.13

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Solution

The third proportional to 199,791.56 and 428,014.13 is: 916,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,791.56 : 428,014.13 = 428,014.13 : x
  2. Step 2: Convert to fraction form
    199,791.56/428,014.13 = 428,014.13/x
  3. Step 3: Cross multiply
    199,791.56x = 428,014.13 × 428,014.13
  4. Step 4: Simplify right side
    199,791.56x = 183,196,091,199.52
  5. Step 5: Solve for x
    x = 183,196,091,199.52/199,791.56
  6. Step 6: Final answer
    x = 916,936.08

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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.