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Finding the Third Proportional to 131,617 and 211,961

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Solution

The third proportional to 131,617 and 211,961 is: 341,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,617 : 211,961 = 211,961 : x
  2. Step 2: Convert to fraction form
    131,617/211,961 = 211,961/x
  3. Step 3: Cross multiply
    131,617x = 211,961 × 211,961
  4. Step 4: Simplify right side
    131,617x = 44,927,465,521
  5. Step 5: Solve for x
    x = 44,927,465,521/131,617
  6. Step 6: Final answer
    x = 341,350.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.