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Finding the Third Proportional to 280,944 and 617,820

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Solution

The third proportional to 280,944 and 617,820 is: 1,358,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,944 : 617,820 = 617,820 : x
  2. Step 2: Convert to fraction form
    280,944/617,820 = 617,820/x
  3. Step 3: Cross multiply
    280,944x = 617,820 × 617,820
  4. Step 4: Simplify right side
    280,944x = 381,701,552,400
  5. Step 5: Solve for x
    x = 381,701,552,400/280,944
  6. Step 6: Final answer
    x = 1,358,639.27

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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.