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Finding the Third Proportional to 280,961 and 609,538

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Solution

The third proportional to 280,961 and 609,538 is: 1,322,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,961 : 609,538 = 609,538 : x
  2. Step 2: Convert to fraction form
    280,961/609,538 = 609,538/x
  3. Step 3: Cross multiply
    280,961x = 609,538 × 609,538
  4. Step 4: Simplify right side
    280,961x = 371,536,573,444
  5. Step 5: Solve for x
    x = 371,536,573,444/280,961
  6. Step 6: Final answer
    x = 1,322,377.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.