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Finding the Third Proportional to 99,536 and 211,840

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Solution

The third proportional to 99,536 and 211,840 is: 450,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,536 : 211,840 = 211,840 : x
  2. Step 2: Convert to fraction form
    99,536/211,840 = 211,840/x
  3. Step 3: Cross multiply
    99,536x = 211,840 × 211,840
  4. Step 4: Simplify right side
    99,536x = 44,876,185,600
  5. Step 5: Solve for x
    x = 44,876,185,600/99,536
  6. Step 6: Final answer
    x = 450,853.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.