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Finding the Third Proportional to 275,748.50 and 442,416.75

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Solution

The third proportional to 275,748.50 and 442,416.75 is: 709,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,748.50 : 442,416.75 = 442,416.75 : x
  2. Step 2: Convert to fraction form
    275,748.50/442,416.75 = 442,416.75/x
  3. Step 3: Cross multiply
    275,748.50x = 442,416.75 × 442,416.75
  4. Step 4: Simplify right side
    275,748.50x = 195,732,580,680.56
  5. Step 5: Solve for x
    x = 195,732,580,680.56/275,748.50
  6. Step 6: Final answer
    x = 709,822.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.