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Finding the Third Proportional to 222,990.75 and 317,878.13

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Solution

The third proportional to 222,990.75 and 317,878.13 is: 453,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,990.75 : 317,878.13 = 317,878.13 : x
  2. Step 2: Convert to fraction form
    222,990.75/317,878.13 = 317,878.13/x
  3. Step 3: Cross multiply
    222,990.75x = 317,878.13 × 317,878.13
  4. Step 4: Simplify right side
    222,990.75x = 101,046,502,353.52
  5. Step 5: Solve for x
    x = 101,046,502,353.52/222,990.75
  6. Step 6: Final answer
    x = 453,142.13

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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.