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Finding the Third Proportional to 131,605 and 211,942

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Solution

The third proportional to 131,605 and 211,942 is: 341,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,605 : 211,942 = 211,942 : x
  2. Step 2: Convert to fraction form
    131,605/211,942 = 211,942/x
  3. Step 3: Cross multiply
    131,605x = 211,942 × 211,942
  4. Step 4: Simplify right side
    131,605x = 44,919,411,364
  5. Step 5: Solve for x
    x = 44,919,411,364/131,605
  6. Step 6: Final answer
    x = 341,319.95

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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.