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Finding the Third Proportional to 285,103 and 617,260

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Solution

The third proportional to 285,103 and 617,260 is: 1,336,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,103 : 617,260 = 617,260 : x
  2. Step 2: Convert to fraction form
    285,103/617,260 = 617,260/x
  3. Step 3: Cross multiply
    285,103x = 617,260 × 617,260
  4. Step 4: Simplify right side
    285,103x = 381,009,907,600
  5. Step 5: Solve for x
    x = 381,009,907,600/285,103
  6. Step 6: Final answer
    x = 1,336,393.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.