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Finding the Third Proportional to 199,245 and 429,976

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Solution

The third proportional to 199,245 and 429,976 is: 927,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,245 : 429,976 = 429,976 : x
  2. Step 2: Convert to fraction form
    199,245/429,976 = 429,976/x
  3. Step 3: Cross multiply
    199,245x = 429,976 × 429,976
  4. Step 4: Simplify right side
    199,245x = 184,879,360,576
  5. Step 5: Solve for x
    x = 184,879,360,576/199,245
  6. Step 6: Final answer
    x = 927,899.62

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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.