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Finding the Third Proportional to 285,540.19 and 620,287.88

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Solution

The third proportional to 285,540.19 and 620,287.88 is: 1,347,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,540.19 : 620,287.88 = 620,287.88 : x
  2. Step 2: Convert to fraction form
    285,540.19/620,287.88 = 620,287.88/x
  3. Step 3: Cross multiply
    285,540.19x = 620,287.88 × 620,287.88
  4. Step 4: Simplify right side
    285,540.19x = 384,757,047,872.02
  5. Step 5: Solve for x
    x = 384,757,047,872.02/285,540.19
  6. Step 6: Final answer
    x = 1,347,470.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.