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Finding the Third Proportional to 365,782.50 and 485,478.56

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Solution

The third proportional to 365,782.50 and 485,478.56 is: 644,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,782.50 : 485,478.56 = 485,478.56 : x
  2. Step 2: Convert to fraction form
    365,782.50/485,478.56 = 485,478.56/x
  3. Step 3: Cross multiply
    365,782.50x = 485,478.56 × 485,478.56
  4. Step 4: Simplify right side
    365,782.50x = 235,689,434,647.07
  5. Step 5: Solve for x
    x = 235,689,434,647.07/365,782.50
  6. Step 6: Final answer
    x = 644,343.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.