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Finding the Third Proportional to 276,843 and 427,070

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Solution

The third proportional to 276,843 and 427,070 is: 658,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,843 : 427,070 = 427,070 : x
  2. Step 2: Convert to fraction form
    276,843/427,070 = 427,070/x
  3. Step 3: Cross multiply
    276,843x = 427,070 × 427,070
  4. Step 4: Simplify right side
    276,843x = 182,388,784,900
  5. Step 5: Solve for x
    x = 182,388,784,900/276,843
  6. Step 6: Final answer
    x = 658,816.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.