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Finding the Third Proportional to 291,182 and 617,354

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Solution

The third proportional to 291,182 and 617,354 is: 1,308,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,182 : 617,354 = 617,354 : x
  2. Step 2: Convert to fraction form
    291,182/617,354 = 617,354/x
  3. Step 3: Cross multiply
    291,182x = 617,354 × 617,354
  4. Step 4: Simplify right side
    291,182x = 381,125,961,316
  5. Step 5: Solve for x
    x = 381,125,961,316/291,182
  6. Step 6: Final answer
    x = 1,308,892.59

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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.