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Finding the Third Proportional to 280,659 and 617,360

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Solution

The third proportional to 280,659 and 617,360 is: 1,357,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,659 : 617,360 = 617,360 : x
  2. Step 2: Convert to fraction form
    280,659/617,360 = 617,360/x
  3. Step 3: Cross multiply
    280,659x = 617,360 × 617,360
  4. Step 4: Simplify right side
    280,659x = 381,133,369,600
  5. Step 5: Solve for x
    x = 381,133,369,600/280,659
  6. Step 6: Final answer
    x = 1,357,994.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.