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Finding the Third Proportional to 291,174 and 617,340

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Solution

The third proportional to 291,174 and 617,340 is: 1,308,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,174 : 617,340 = 617,340 : x
  2. Step 2: Convert to fraction form
    291,174/617,340 = 617,340/x
  3. Step 3: Cross multiply
    291,174x = 617,340 × 617,340
  4. Step 4: Simplify right side
    291,174x = 381,108,675,600
  5. Step 5: Solve for x
    x = 381,108,675,600/291,174
  6. Step 6: Final answer
    x = 1,308,869.18

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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.