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Finding the Third Proportional to 280,960 and 608,576

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Solution

The third proportional to 280,960 and 608,576 is: 1,318,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,960 : 608,576 = 608,576 : x
  2. Step 2: Convert to fraction form
    280,960/608,576 = 608,576/x
  3. Step 3: Cross multiply
    280,960x = 608,576 × 608,576
  4. Step 4: Simplify right side
    280,960x = 370,364,747,776
  5. Step 5: Solve for x
    x = 370,364,747,776/280,960
  6. Step 6: Final answer
    x = 1,318,211.66

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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.