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Finding the Third Proportional to 276,916 and 414,913

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Solution

The third proportional to 276,916 and 414,913 is: 621,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,916 : 414,913 = 414,913 : x
  2. Step 2: Convert to fraction form
    276,916/414,913 = 414,913/x
  3. Step 3: Cross multiply
    276,916x = 414,913 × 414,913
  4. Step 4: Simplify right side
    276,916x = 172,152,797,569
  5. Step 5: Solve for x
    x = 172,152,797,569/276,916
  6. Step 6: Final answer
    x = 621,678.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.