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Finding the Third Proportional to 280,784 and 662,837

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Solution

The third proportional to 280,784 and 662,837 is: 1,564,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,784 : 662,837 = 662,837 : x
  2. Step 2: Convert to fraction form
    280,784/662,837 = 662,837/x
  3. Step 3: Cross multiply
    280,784x = 662,837 × 662,837
  4. Step 4: Simplify right side
    280,784x = 439,352,888,569
  5. Step 5: Solve for x
    x = 439,352,888,569/280,784
  6. Step 6: Final answer
    x = 1,564,736.20

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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.