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Finding the Third Proportional to 280,498 and 617,078

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Solution

The third proportional to 280,498 and 617,078 is: 1,357,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,498 : 617,078 = 617,078 : x
  2. Step 2: Convert to fraction form
    280,498/617,078 = 617,078/x
  3. Step 3: Cross multiply
    280,498x = 617,078 × 617,078
  4. Step 4: Simplify right side
    280,498x = 380,785,258,084
  5. Step 5: Solve for x
    x = 380,785,258,084/280,498
  6. Step 6: Final answer
    x = 1,357,532.88

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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.