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Finding the Third Proportional to 347,236.88 and 521,779.22

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Solution

The third proportional to 347,236.88 and 521,779.22 is: 784,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,236.88 : 521,779.22 = 521,779.22 : x
  2. Step 2: Convert to fraction form
    347,236.88/521,779.22 = 521,779.22/x
  3. Step 3: Cross multiply
    347,236.88x = 521,779.22 × 521,779.22
  4. Step 4: Simplify right side
    347,236.88x = 272,253,553,119.36
  5. Step 5: Solve for x
    x = 272,253,553,119.36/347,236.88
  6. Step 6: Final answer
    x = 784,057.15

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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.