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Finding the Third Proportional to 436,180.75 and 656,455.13

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Solution

The third proportional to 436,180.75 and 656,455.13 is: 987,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,180.75 : 656,455.13 = 656,455.13 : x
  2. Step 2: Convert to fraction form
    436,180.75/656,455.13 = 656,455.13/x
  3. Step 3: Cross multiply
    436,180.75x = 656,455.13 × 656,455.13
  4. Step 4: Simplify right side
    436,180.75x = 430,933,331,138.77
  5. Step 5: Solve for x
    x = 430,933,331,138.77/436,180.75
  6. Step 6: Final answer
    x = 987,969.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.