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Finding the Third Proportional to 222,475.88 and 460,722.38

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Solution

The third proportional to 222,475.88 and 460,722.38 is: 954,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,475.88 : 460,722.38 = 460,722.38 : x
  2. Step 2: Convert to fraction form
    222,475.88/460,722.38 = 460,722.38/x
  3. Step 3: Cross multiply
    222,475.88x = 460,722.38 × 460,722.38
  4. Step 4: Simplify right side
    222,475.88x = 212,265,106,825.64
  5. Step 5: Solve for x
    x = 212,265,106,825.64/222,475.88
  6. Step 6: Final answer
    x = 954,103.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.