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Finding the Third Proportional to 276,106 and 377,829

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Solution

The third proportional to 276,106 and 377,829 is: 517,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,106 : 377,829 = 377,829 : x
  2. Step 2: Convert to fraction form
    276,106/377,829 = 377,829/x
  3. Step 3: Cross multiply
    276,106x = 377,829 × 377,829
  4. Step 4: Simplify right side
    276,106x = 142,754,753,241
  5. Step 5: Solve for x
    x = 142,754,753,241/276,106
  6. Step 6: Final answer
    x = 517,028.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.