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Finding the Third Proportional to 156,963 and 343,085

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Solution

The third proportional to 156,963 and 343,085 is: 749,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,963 : 343,085 = 343,085 : x
  2. Step 2: Convert to fraction form
    156,963/343,085 = 343,085/x
  3. Step 3: Cross multiply
    156,963x = 343,085 × 343,085
  4. Step 4: Simplify right side
    156,963x = 117,707,317,225
  5. Step 5: Solve for x
    x = 117,707,317,225/156,963
  6. Step 6: Final answer
    x = 749,904.86

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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.