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Finding the Third Proportional to 276,297.75 and 427,934.25

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Solution

The third proportional to 276,297.75 and 427,934.25 is: 662,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,297.75 : 427,934.25 = 427,934.25 : x
  2. Step 2: Convert to fraction form
    276,297.75/427,934.25 = 427,934.25/x
  3. Step 3: Cross multiply
    276,297.75x = 427,934.25 × 427,934.25
  4. Step 4: Simplify right side
    276,297.75x = 183,127,722,323.06
  5. Step 5: Solve for x
    x = 183,127,722,323.06/276,297.75
  6. Step 6: Final answer
    x = 662,791.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.