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Finding the Third Proportional to 291,175 and 617,337

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Solution

The third proportional to 291,175 and 617,337 is: 1,308,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,175 : 617,337 = 617,337 : x
  2. Step 2: Convert to fraction form
    291,175/617,337 = 617,337/x
  3. Step 3: Cross multiply
    291,175x = 617,337 × 617,337
  4. Step 4: Simplify right side
    291,175x = 381,104,971,569
  5. Step 5: Solve for x
    x = 381,104,971,569/291,175
  6. Step 6: Final answer
    x = 1,308,851.97

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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.