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Finding the Third Proportional to 156,739 and 342,881

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Solution

The third proportional to 156,739 and 342,881 is: 750,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,739 : 342,881 = 342,881 : x
  2. Step 2: Convert to fraction form
    156,739/342,881 = 342,881/x
  3. Step 3: Cross multiply
    156,739x = 342,881 × 342,881
  4. Step 4: Simplify right side
    156,739x = 117,567,380,161
  5. Step 5: Solve for x
    x = 117,567,380,161/156,739
  6. Step 6: Final answer
    x = 750,083.77

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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.