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Finding the Third Proportional to 156,313 and 323,345

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Solution

The third proportional to 156,313 and 323,345 is: 668,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,313 : 323,345 = 323,345 : x
  2. Step 2: Convert to fraction form
    156,313/323,345 = 323,345/x
  3. Step 3: Cross multiply
    156,313x = 323,345 × 323,345
  4. Step 4: Simplify right side
    156,313x = 104,551,989,025
  5. Step 5: Solve for x
    x = 104,551,989,025/156,313
  6. Step 6: Final answer
    x = 668,863.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.