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Finding the Third Proportional to 280,657 and 617,356

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Solution

The third proportional to 280,657 and 617,356 is: 1,357,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,657 : 617,356 = 617,356 : x
  2. Step 2: Convert to fraction form
    280,657/617,356 = 617,356/x
  3. Step 3: Cross multiply
    280,657x = 617,356 × 617,356
  4. Step 4: Simplify right side
    280,657x = 381,128,430,736
  5. Step 5: Solve for x
    x = 381,128,430,736/280,657
  6. Step 6: Final answer
    x = 1,357,986.55

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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.