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Finding the Third Proportional to 280,782 and 662,832

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Solution

The third proportional to 280,782 and 662,832 is: 1,564,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,782 : 662,832 = 662,832 : x
  2. Step 2: Convert to fraction form
    280,782/662,832 = 662,832/x
  3. Step 3: Cross multiply
    280,782x = 662,832 × 662,832
  4. Step 4: Simplify right side
    280,782x = 439,346,260,224
  5. Step 5: Solve for x
    x = 439,346,260,224/280,782
  6. Step 6: Final answer
    x = 1,564,723.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.