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Finding the Third Proportional to 276,297 and 427,932

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Solution

The third proportional to 276,297 and 427,932 is: 662,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,297 : 427,932 = 427,932 : x
  2. Step 2: Convert to fraction form
    276,297/427,932 = 427,932/x
  3. Step 3: Cross multiply
    276,297x = 427,932 × 427,932
  4. Step 4: Simplify right side
    276,297x = 183,125,796,624
  5. Step 5: Solve for x
    x = 183,125,796,624/276,297
  6. Step 6: Final answer
    x = 662,786.05

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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.