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Finding the Third Proportional to 156,781 and 234,804

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Solution

The third proportional to 156,781 and 234,804 is: 351,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,781 : 234,804 = 234,804 : x
  2. Step 2: Convert to fraction form
    156,781/234,804 = 234,804/x
  3. Step 3: Cross multiply
    156,781x = 234,804 × 234,804
  4. Step 4: Simplify right side
    156,781x = 55,132,918,416
  5. Step 5: Solve for x
    x = 55,132,918,416/156,781
  6. Step 6: Final answer
    x = 351,655.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.