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Finding the Third Proportional to 276,804 and 428,118

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Solution

The third proportional to 276,804 and 428,118 is: 662,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,804 : 428,118 = 428,118 : x
  2. Step 2: Convert to fraction form
    276,804/428,118 = 428,118/x
  3. Step 3: Cross multiply
    276,804x = 428,118 × 428,118
  4. Step 4: Simplify right side
    276,804x = 183,285,021,924
  5. Step 5: Solve for x
    x = 183,285,021,924/276,804
  6. Step 6: Final answer
    x = 662,147.30

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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.