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Finding the Third Proportional to 276,584 and 427,158

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Solution

The third proportional to 276,584 and 427,158 is: 659,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,584 : 427,158 = 427,158 : x
  2. Step 2: Convert to fraction form
    276,584/427,158 = 427,158/x
  3. Step 3: Cross multiply
    276,584x = 427,158 × 427,158
  4. Step 4: Simplify right side
    276,584x = 182,463,956,964
  5. Step 5: Solve for x
    x = 182,463,956,964/276,584
  6. Step 6: Final answer
    x = 659,705.39

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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.