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Finding the Third Proportional to 99,468 and 213,660

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Solution

The third proportional to 99,468 and 213,660 is: 458,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,468 : 213,660 = 213,660 : x
  2. Step 2: Convert to fraction form
    99,468/213,660 = 213,660/x
  3. Step 3: Cross multiply
    99,468x = 213,660 × 213,660
  4. Step 4: Simplify right side
    99,468x = 45,650,595,600
  5. Step 5: Solve for x
    x = 45,650,595,600/99,468
  6. Step 6: Final answer
    x = 458,947.56

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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.