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Finding the Third Proportional to 283,162.50 and 428,370.75

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Solution

The third proportional to 283,162.50 and 428,370.75 is: 648,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,162.50 : 428,370.75 = 428,370.75 : x
  2. Step 2: Convert to fraction form
    283,162.50/428,370.75 = 428,370.75/x
  3. Step 3: Cross multiply
    283,162.50x = 428,370.75 × 428,370.75
  4. Step 4: Simplify right side
    283,162.50x = 183,501,499,455.56
  5. Step 5: Solve for x
    x = 183,501,499,455.56/283,162.50
  6. Step 6: Final answer
    x = 648,043.08

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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.