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Finding the Third Proportional to 156,972 and 343,088

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Solution

The third proportional to 156,972 and 343,088 is: 749,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 343,088 = 343,088 : x
  2. Step 2: Convert to fraction form
    156,972/343,088 = 343,088/x
  3. Step 3: Cross multiply
    156,972x = 343,088 × 343,088
  4. Step 4: Simplify right side
    156,972x = 117,709,375,744
  5. Step 5: Solve for x
    x = 117,709,375,744/156,972
  6. Step 6: Final answer
    x = 749,874.98

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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.