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Finding the Third Proportional to 98,384 and 211,102

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Solution

The third proportional to 98,384 and 211,102 is: 452,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,384 : 211,102 = 211,102 : x
  2. Step 2: Convert to fraction form
    98,384/211,102 = 211,102/x
  3. Step 3: Cross multiply
    98,384x = 211,102 × 211,102
  4. Step 4: Simplify right side
    98,384x = 44,564,054,404
  5. Step 5: Solve for x
    x = 44,564,054,404/98,384
  6. Step 6: Final answer
    x = 452,960.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.