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Finding the Third Proportional to 276,259 and 389,938

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Solution

The third proportional to 276,259 and 389,938 is: 550,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,259 : 389,938 = 389,938 : x
  2. Step 2: Convert to fraction form
    276,259/389,938 = 389,938/x
  3. Step 3: Cross multiply
    276,259x = 389,938 × 389,938
  4. Step 4: Simplify right side
    276,259x = 152,051,643,844
  5. Step 5: Solve for x
    x = 152,051,643,844/276,259
  6. Step 6: Final answer
    x = 550,395.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.