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Finding the Third Proportional to 156,780 and 343,583

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Solution

The third proportional to 156,780 and 343,583 is: 752,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,780 : 343,583 = 343,583 : x
  2. Step 2: Convert to fraction form
    156,780/343,583 = 343,583/x
  3. Step 3: Cross multiply
    156,780x = 343,583 × 343,583
  4. Step 4: Simplify right side
    156,780x = 118,049,277,889
  5. Step 5: Solve for x
    x = 118,049,277,889/156,780
  6. Step 6: Final answer
    x = 752,961.33

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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.