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Finding the Third Proportional to 199,424 and 430,156

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Solution

The third proportional to 199,424 and 430,156 is: 927,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,424 : 430,156 = 430,156 : x
  2. Step 2: Convert to fraction form
    199,424/430,156 = 430,156/x
  3. Step 3: Cross multiply
    199,424x = 430,156 × 430,156
  4. Step 4: Simplify right side
    199,424x = 185,034,184,336
  5. Step 5: Solve for x
    x = 185,034,184,336/199,424
  6. Step 6: Final answer
    x = 927,843.11

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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.