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Finding the Third Proportional to 156,718 and 343,481

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Solution

The third proportional to 156,718 and 343,481 is: 752,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,718 : 343,481 = 343,481 : x
  2. Step 2: Convert to fraction form
    156,718/343,481 = 343,481/x
  3. Step 3: Cross multiply
    156,718x = 343,481 × 343,481
  4. Step 4: Simplify right side
    156,718x = 117,979,197,361
  5. Step 5: Solve for x
    x = 117,979,197,361/156,718
  6. Step 6: Final answer
    x = 752,812.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.