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Finding the Third Proportional to 276,970 and 414,982

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Solution

The third proportional to 276,970 and 414,982 is: 621,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,970 : 414,982 = 414,982 : x
  2. Step 2: Convert to fraction form
    276,970/414,982 = 414,982/x
  3. Step 3: Cross multiply
    276,970x = 414,982 × 414,982
  4. Step 4: Simplify right side
    276,970x = 172,210,060,324
  5. Step 5: Solve for x
    x = 172,210,060,324/276,970
  6. Step 6: Final answer
    x = 621,764.31

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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.