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Finding the Third Proportional to 320,287.50 and 479,542.50

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Solution

The third proportional to 320,287.50 and 479,542.50 is: 717,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,287.50 : 479,542.50 = 479,542.50 : x
  2. Step 2: Convert to fraction form
    320,287.50/479,542.50 = 479,542.50/x
  3. Step 3: Cross multiply
    320,287.50x = 479,542.50 × 479,542.50
  4. Step 4: Simplify right side
    320,287.50x = 229,961,009,306.25
  5. Step 5: Solve for x
    x = 229,961,009,306.25/320,287.50
  6. Step 6: Final answer
    x = 717,983.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.