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Finding the Third Proportional to 199,516 and 291,831

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Solution

The third proportional to 199,516 and 291,831 is: 426,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,516 : 291,831 = 291,831 : x
  2. Step 2: Convert to fraction form
    199,516/291,831 = 291,831/x
  3. Step 3: Cross multiply
    199,516x = 291,831 × 291,831
  4. Step 4: Simplify right side
    199,516x = 85,165,332,561
  5. Step 5: Solve for x
    x = 85,165,332,561/199,516
  6. Step 6: Final answer
    x = 426,859.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.