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Finding the Third Proportional to 222,160.78 and 325,332.84

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Solution

The third proportional to 222,160.78 and 325,332.84 is: 476,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,160.78 : 325,332.84 = 325,332.84 : x
  2. Step 2: Convert to fraction form
    222,160.78/325,332.84 = 325,332.84/x
  3. Step 3: Cross multiply
    222,160.78x = 325,332.84 × 325,332.84
  4. Step 4: Simplify right side
    222,160.78x = 105,841,459,222.46
  5. Step 5: Solve for x
    x = 105,841,459,222.46/222,160.78
  6. Step 6: Final answer
    x = 476,418.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.