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Finding the Third Proportional to 96,440 and 211,561

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Solution

The third proportional to 96,440 and 211,561 is: 464,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,440 : 211,561 = 211,561 : x
  2. Step 2: Convert to fraction form
    96,440/211,561 = 211,561/x
  3. Step 3: Cross multiply
    96,440x = 211,561 × 211,561
  4. Step 4: Simplify right side
    96,440x = 44,758,056,721
  5. Step 5: Solve for x
    x = 44,758,056,721/96,440
  6. Step 6: Final answer
    x = 464,102.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.