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Finding the Third Proportional to 222,129 and 316,577.25

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Solution

The third proportional to 222,129 and 316,577.25 is: 451,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,129 : 316,577.25 = 316,577.25 : x
  2. Step 2: Convert to fraction form
    222,129/316,577.25 = 316,577.25/x
  3. Step 3: Cross multiply
    222,129x = 316,577.25 × 316,577.25
  4. Step 4: Simplify right side
    222,129x = 100,221,155,217.56
  5. Step 5: Solve for x
    x = 100,221,155,217.56/222,129
  6. Step 6: Final answer
    x = 451,184.47

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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.