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Finding the Third Proportional to 222,145.88 and 317,442.38

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Solution

The third proportional to 222,145.88 and 317,442.38 is: 453,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,145.88 : 317,442.38 = 317,442.38 : x
  2. Step 2: Convert to fraction form
    222,145.88/317,442.38 = 317,442.38/x
  3. Step 3: Cross multiply
    222,145.88x = 317,442.38 × 317,442.38
  4. Step 4: Simplify right side
    222,145.88x = 100,769,661,445.64
  5. Step 5: Solve for x
    x = 100,769,661,445.64/222,145.88
  6. Step 6: Final answer
    x = 453,619.32

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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.