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Finding the Third Proportional to 276,040 and 418,200

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Solution

The third proportional to 276,040 and 418,200 is: 633,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,040 : 418,200 = 418,200 : x
  2. Step 2: Convert to fraction form
    276,040/418,200 = 418,200/x
  3. Step 3: Cross multiply
    276,040x = 418,200 × 418,200
  4. Step 4: Simplify right side
    276,040x = 174,891,240,000
  5. Step 5: Solve for x
    x = 174,891,240,000/276,040
  6. Step 6: Final answer
    x = 633,572.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.