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Finding the Third Proportional to 222,799.78 and 463,959.56

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Solution

The third proportional to 222,799.78 and 463,959.56 is: 966,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,799.78 : 463,959.56 = 463,959.56 : x
  2. Step 2: Convert to fraction form
    222,799.78/463,959.56 = 463,959.56/x
  3. Step 3: Cross multiply
    222,799.78x = 463,959.56 × 463,959.56
  4. Step 4: Simplify right side
    222,799.78x = 215,258,475,635.19
  5. Step 5: Solve for x
    x = 215,258,475,635.19/222,799.78
  6. Step 6: Final answer
    x = 966,152.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.