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Finding the Third Proportional to 156,129 and 343,362

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Solution

The third proportional to 156,129 and 343,362 is: 755,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,129 : 343,362 = 343,362 : x
  2. Step 2: Convert to fraction form
    156,129/343,362 = 343,362/x
  3. Step 3: Cross multiply
    156,129x = 343,362 × 343,362
  4. Step 4: Simplify right side
    156,129x = 117,897,463,044
  5. Step 5: Solve for x
    x = 117,897,463,044/156,129
  6. Step 6: Final answer
    x = 755,128.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.