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Finding the Third Proportional to 155,311.17 and 320,532.19

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Solution

The third proportional to 155,311.17 and 320,532.19 is: 661,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,311.17 : 320,532.19 = 320,532.19 : x
  2. Step 2: Convert to fraction form
    155,311.17/320,532.19 = 320,532.19/x
  3. Step 3: Cross multiply
    155,311.17x = 320,532.19 × 320,532.19
  4. Step 4: Simplify right side
    155,311.17x = 102,740,883,223.54
  5. Step 5: Solve for x
    x = 102,740,883,223.54/155,311.17
  6. Step 6: Final answer
    x = 661,516.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.