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Finding the Third Proportional to 291,146 and 617,286

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Solution

The third proportional to 291,146 and 617,286 is: 1,308,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,146 : 617,286 = 617,286 : x
  2. Step 2: Convert to fraction form
    291,146/617,286 = 617,286/x
  3. Step 3: Cross multiply
    291,146x = 617,286 × 617,286
  4. Step 4: Simplify right side
    291,146x = 381,042,005,796
  5. Step 5: Solve for x
    x = 381,042,005,796/291,146
  6. Step 6: Final answer
    x = 1,308,766.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.