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Finding the Third Proportional to 436,180.50 and 656,455.50

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Solution

The third proportional to 436,180.50 and 656,455.50 is: 987,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,180.50 : 656,455.50 = 656,455.50 : x
  2. Step 2: Convert to fraction form
    436,180.50/656,455.50 = 656,455.50/x
  3. Step 3: Cross multiply
    436,180.50x = 656,455.50 × 656,455.50
  4. Step 4: Simplify right side
    436,180.50x = 430,933,823,480.25
  5. Step 5: Solve for x
    x = 430,933,823,480.25/436,180.50
  6. Step 6: Final answer
    x = 987,971.32

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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.