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Finding the Third Proportional to 347,243.44 and 521,789.63

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Solution

The third proportional to 347,243.44 and 521,789.63 is: 784,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,243.44 : 521,789.63 = 521,789.63 : x
  2. Step 2: Convert to fraction form
    347,243.44/521,789.63 = 521,789.63/x
  3. Step 3: Cross multiply
    347,243.44x = 521,789.63 × 521,789.63
  4. Step 4: Simplify right side
    347,243.44x = 272,264,412,757.64
  5. Step 5: Solve for x
    x = 272,264,412,757.64/347,243.44
  6. Step 6: Final answer
    x = 784,073.60

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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.