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Finding the Third Proportional to 222,217 and 317,541

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Solution

The third proportional to 222,217 and 317,541 is: 453,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,217 : 317,541 = 317,541 : x
  2. Step 2: Convert to fraction form
    222,217/317,541 = 317,541/x
  3. Step 3: Cross multiply
    222,217x = 317,541 × 317,541
  4. Step 4: Simplify right side
    222,217x = 100,832,286,681
  5. Step 5: Solve for x
    x = 100,832,286,681/222,217
  6. Step 6: Final answer
    x = 453,755.95

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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.