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Finding the Third Proportional to 276,105 and 418,316

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Solution

The third proportional to 276,105 and 418,316 is: 633,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,105 : 418,316 = 418,316 : x
  2. Step 2: Convert to fraction form
    276,105/418,316 = 418,316/x
  3. Step 3: Cross multiply
    276,105x = 418,316 × 418,316
  4. Step 4: Simplify right side
    276,105x = 174,988,275,856
  5. Step 5: Solve for x
    x = 174,988,275,856/276,105
  6. Step 6: Final answer
    x = 633,774.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.