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Finding the Third Proportional to 419,458.50 and 656,180

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Solution

The third proportional to 419,458.50 and 656,180 is: 1,026,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,458.50 : 656,180 = 656,180 : x
  2. Step 2: Convert to fraction form
    419,458.50/656,180 = 656,180/x
  3. Step 3: Cross multiply
    419,458.50x = 656,180 × 656,180
  4. Step 4: Simplify right side
    419,458.50x = 430,572,192,400
  5. Step 5: Solve for x
    x = 430,572,192,400/419,458.50
  6. Step 6: Final answer
    x = 1,026,495.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.