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Finding the Third Proportional to 156,981 and 343,122

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Solution

The third proportional to 156,981 and 343,122 is: 749,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,981 : 343,122 = 343,122 : x
  2. Step 2: Convert to fraction form
    156,981/343,122 = 343,122/x
  3. Step 3: Cross multiply
    156,981x = 343,122 × 343,122
  4. Step 4: Simplify right side
    156,981x = 117,732,706,884
  5. Step 5: Solve for x
    x = 117,732,706,884/156,981
  6. Step 6: Final answer
    x = 749,980.61

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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.