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Finding the Third Proportional to 312,997.50 and 469,563.75

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Solution

The third proportional to 312,997.50 and 469,563.75 is: 704,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,997.50 : 469,563.75 = 469,563.75 : x
  2. Step 2: Convert to fraction form
    312,997.50/469,563.75 = 469,563.75/x
  3. Step 3: Cross multiply
    312,997.50x = 469,563.75 × 469,563.75
  4. Step 4: Simplify right side
    312,997.50x = 220,490,115,314.06
  5. Step 5: Solve for x
    x = 220,490,115,314.06/312,997.50
  6. Step 6: Final answer
    x = 704,446.89

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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.