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Finding the Third Proportional to 320,917.50 and 495,211.50

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Solution

The third proportional to 320,917.50 and 495,211.50 is: 764,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,917.50 : 495,211.50 = 495,211.50 : x
  2. Step 2: Convert to fraction form
    320,917.50/495,211.50 = 495,211.50/x
  3. Step 3: Cross multiply
    320,917.50x = 495,211.50 × 495,211.50
  4. Step 4: Simplify right side
    320,917.50x = 245,234,429,732.25
  5. Step 5: Solve for x
    x = 245,234,429,732.25/320,917.50
  6. Step 6: Final answer
    x = 764,166.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.