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Finding the Third Proportional to 291,179 and 617,345

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Solution

The third proportional to 291,179 and 617,345 is: 1,308,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,179 : 617,345 = 617,345 : x
  2. Step 2: Convert to fraction form
    291,179/617,345 = 617,345/x
  3. Step 3: Cross multiply
    291,179x = 617,345 × 617,345
  4. Step 4: Simplify right side
    291,179x = 381,114,849,025
  5. Step 5: Solve for x
    x = 381,114,849,025/291,179
  6. Step 6: Final answer
    x = 1,308,867.91

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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.