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Finding the Third Proportional to 99,411 and 215,772

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Solution

The third proportional to 99,411 and 215,772 is: 468,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,411 : 215,772 = 215,772 : x
  2. Step 2: Convert to fraction form
    99,411/215,772 = 215,772/x
  3. Step 3: Cross multiply
    99,411x = 215,772 × 215,772
  4. Step 4: Simplify right side
    99,411x = 46,557,555,984
  5. Step 5: Solve for x
    x = 46,557,555,984/99,411
  6. Step 6: Final answer
    x = 468,334.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.