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Finding the Third Proportional to 486,657.50 and 650,975

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Solution

The third proportional to 486,657.50 and 650,975 is: 870,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,657.50 : 650,975 = 650,975 : x
  2. Step 2: Convert to fraction form
    486,657.50/650,975 = 650,975/x
  3. Step 3: Cross multiply
    486,657.50x = 650,975 × 650,975
  4. Step 4: Simplify right side
    486,657.50x = 423,768,450,625
  5. Step 5: Solve for x
    x = 423,768,450,625/486,657.50
  6. Step 6: Final answer
    x = 870,773.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.