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Finding the Third Proportional to 276,789 and 605,277

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Solution

The third proportional to 276,789 and 605,277 is: 1,323,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,789 : 605,277 = 605,277 : x
  2. Step 2: Convert to fraction form
    276,789/605,277 = 605,277/x
  3. Step 3: Cross multiply
    276,789x = 605,277 × 605,277
  4. Step 4: Simplify right side
    276,789x = 366,360,246,729
  5. Step 5: Solve for x
    x = 366,360,246,729/276,789
  6. Step 6: Final answer
    x = 1,323,608.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.