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Finding the Third Proportional to 156,370.50 and 251,778.38

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Solution

The third proportional to 156,370.50 and 251,778.38 is: 405,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,370.50 : 251,778.38 = 251,778.38 : x
  2. Step 2: Convert to fraction form
    156,370.50/251,778.38 = 251,778.38/x
  3. Step 3: Cross multiply
    156,370.50x = 251,778.38 × 251,778.38
  4. Step 4: Simplify right side
    156,370.50x = 63,392,350,117.64
  5. Step 5: Solve for x
    x = 63,392,350,117.64/156,370.50
  6. Step 6: Final answer
    x = 405,398.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.