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Finding the Third Proportional to 276,913 and 414,908

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Solution

The third proportional to 276,913 and 414,908 is: 621,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,913 : 414,908 = 414,908 : x
  2. Step 2: Convert to fraction form
    276,913/414,908 = 414,908/x
  3. Step 3: Cross multiply
    276,913x = 414,908 × 414,908
  4. Step 4: Simplify right side
    276,913x = 172,148,648,464
  5. Step 5: Solve for x
    x = 172,148,648,464/276,913
  6. Step 6: Final answer
    x = 621,670.52

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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.