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Finding the Third Proportional to 156,784 and 343,591

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Solution

The third proportional to 156,784 and 343,591 is: 752,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784 : 343,591 = 343,591 : x
  2. Step 2: Convert to fraction form
    156,784/343,591 = 343,591/x
  3. Step 3: Cross multiply
    156,784x = 343,591 × 343,591
  4. Step 4: Simplify right side
    156,784x = 118,054,775,281
  5. Step 5: Solve for x
    x = 118,054,775,281/156,784
  6. Step 6: Final answer
    x = 752,977.19

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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.