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Finding the Third Proportional to 99,468 and 211,207.50

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Solution

The third proportional to 99,468 and 211,207.50 is: 448,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,468 : 211,207.50 = 211,207.50 : x
  2. Step 2: Convert to fraction form
    99,468/211,207.50 = 211,207.50/x
  3. Step 3: Cross multiply
    99,468x = 211,207.50 × 211,207.50
  4. Step 4: Simplify right side
    99,468x = 44,608,608,056.25
  5. Step 5: Solve for x
    x = 44,608,608,056.25/99,468
  6. Step 6: Final answer
    x = 448,471.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.