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Finding the Third Proportional to 276,641 and 603,538

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Solution

The third proportional to 276,641 and 603,538 is: 1,316,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,641 : 603,538 = 603,538 : x
  2. Step 2: Convert to fraction form
    276,641/603,538 = 603,538/x
  3. Step 3: Cross multiply
    276,641x = 603,538 × 603,538
  4. Step 4: Simplify right side
    276,641x = 364,258,117,444
  5. Step 5: Solve for x
    x = 364,258,117,444/276,641
  6. Step 6: Final answer
    x = 1,316,717.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.