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Finding the Third Proportional to 156,932 and 343,207

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Solution

The third proportional to 156,932 and 343,207 is: 750,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,932 : 343,207 = 343,207 : x
  2. Step 2: Convert to fraction form
    156,932/343,207 = 343,207/x
  3. Step 3: Cross multiply
    156,932x = 343,207 × 343,207
  4. Step 4: Simplify right side
    156,932x = 117,791,044,849
  5. Step 5: Solve for x
    x = 117,791,044,849/156,932
  6. Step 6: Final answer
    x = 750,586.53

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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.