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Finding the Third Proportional to 131,618 and 211,960

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Solution

The third proportional to 131,618 and 211,960 is: 341,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,618 : 211,960 = 211,960 : x
  2. Step 2: Convert to fraction form
    131,618/211,960 = 211,960/x
  3. Step 3: Cross multiply
    131,618x = 211,960 × 211,960
  4. Step 4: Simplify right side
    131,618x = 44,927,041,600
  5. Step 5: Solve for x
    x = 44,927,041,600/131,618
  6. Step 6: Final answer
    x = 341,344.21

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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.