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Finding the Third Proportional to 280,960 and 609,536

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Solution

The third proportional to 280,960 and 609,536 is: 1,322,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,960 : 609,536 = 609,536 : x
  2. Step 2: Convert to fraction form
    280,960/609,536 = 609,536/x
  3. Step 3: Cross multiply
    280,960x = 609,536 × 609,536
  4. Step 4: Simplify right side
    280,960x = 371,534,135,296
  5. Step 5: Solve for x
    x = 371,534,135,296/280,960
  6. Step 6: Final answer
    x = 1,322,373.77

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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.