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Finding the Third Proportional to 199,158.75 and 430,120.13

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Solution

The third proportional to 199,158.75 and 430,120.13 is: 928,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,158.75 : 430,120.13 = 430,120.13 : x
  2. Step 2: Convert to fraction form
    199,158.75/430,120.13 = 430,120.13/x
  3. Step 3: Cross multiply
    199,158.75x = 430,120.13 × 430,120.13
  4. Step 4: Simplify right side
    199,158.75x = 185,003,321,930.02
  5. Step 5: Solve for x
    x = 185,003,321,930.02/199,158.75
  6. Step 6: Final answer
    x = 928,923.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.