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Finding the Third Proportional to 156,920 and 343,182

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Solution

The third proportional to 156,920 and 343,182 is: 750,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,920 : 343,182 = 343,182 : x
  2. Step 2: Convert to fraction form
    156,920/343,182 = 343,182/x
  3. Step 3: Cross multiply
    156,920x = 343,182 × 343,182
  4. Step 4: Simplify right side
    156,920x = 117,773,885,124
  5. Step 5: Solve for x
    x = 117,773,885,124/156,920
  6. Step 6: Final answer
    x = 750,534.57

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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.