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Finding the Third Proportional to 156,777 and 344,767.50

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Solution

The third proportional to 156,777 and 344,767.50 is: 758,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,777 : 344,767.50 = 344,767.50 : x
  2. Step 2: Convert to fraction form
    156,777/344,767.50 = 344,767.50/x
  3. Step 3: Cross multiply
    156,777x = 344,767.50 × 344,767.50
  4. Step 4: Simplify right side
    156,777x = 118,864,629,056.25
  5. Step 5: Solve for x
    x = 118,864,629,056.25/156,777
  6. Step 6: Final answer
    x = 758,176.45

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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.