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Finding the Third Proportional to 276,580 and 427,154

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Solution

The third proportional to 276,580 and 427,154 is: 659,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,580 : 427,154 = 427,154 : x
  2. Step 2: Convert to fraction form
    276,580/427,154 = 427,154/x
  3. Step 3: Cross multiply
    276,580x = 427,154 × 427,154
  4. Step 4: Simplify right side
    276,580x = 182,460,539,716
  5. Step 5: Solve for x
    x = 182,460,539,716/276,580
  6. Step 6: Final answer
    x = 659,702.58

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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.