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Finding the Third Proportional to 156,311 and 323,341

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Solution

The third proportional to 156,311 and 323,341 is: 668,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,311 : 323,341 = 323,341 : x
  2. Step 2: Convert to fraction form
    156,311/323,341 = 323,341/x
  3. Step 3: Cross multiply
    156,311x = 323,341 × 323,341
  4. Step 4: Simplify right side
    156,311x = 104,549,402,281
  5. Step 5: Solve for x
    x = 104,549,402,281/156,311
  6. Step 6: Final answer
    x = 668,855.05

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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.