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Finding the Third Proportional to 131,423 and 205,895

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Solution

The third proportional to 131,423 and 205,895 is: 322,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,423 : 205,895 = 205,895 : x
  2. Step 2: Convert to fraction form
    131,423/205,895 = 205,895/x
  3. Step 3: Cross multiply
    131,423x = 205,895 × 205,895
  4. Step 4: Simplify right side
    131,423x = 42,392,751,025
  5. Step 5: Solve for x
    x = 42,392,751,025/131,423
  6. Step 6: Final answer
    x = 322,567.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.