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Finding the Third Proportional to 222,208.31 and 316,818.84

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Solution

The third proportional to 222,208.31 and 316,818.84 is: 451,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,208.31 : 316,818.84 = 316,818.84 : x
  2. Step 2: Convert to fraction form
    222,208.31/316,818.84 = 316,818.84/x
  3. Step 3: Cross multiply
    222,208.31x = 316,818.84 × 316,818.84
  4. Step 4: Simplify right side
    222,208.31x = 100,374,179,755.09
  5. Step 5: Solve for x
    x = 100,374,179,755.09/222,208.31
  6. Step 6: Final answer
    x = 451,712.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.