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Finding the Third Proportional to 156,781 and 344,776

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Solution

The third proportional to 156,781 and 344,776 is: 758,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,781 : 344,776 = 344,776 : x
  2. Step 2: Convert to fraction form
    156,781/344,776 = 344,776/x
  3. Step 3: Cross multiply
    156,781x = 344,776 × 344,776
  4. Step 4: Simplify right side
    156,781x = 118,870,490,176
  5. Step 5: Solve for x
    x = 118,870,490,176/156,781
  6. Step 6: Final answer
    x = 758,194.49

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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.