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Finding the Third Proportional to 243,803.25 and 323,586.56

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Solution

The third proportional to 243,803.25 and 323,586.56 is: 429,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,803.25 : 323,586.56 = 323,586.56 : x
  2. Step 2: Convert to fraction form
    243,803.25/323,586.56 = 323,586.56/x
  3. Step 3: Cross multiply
    243,803.25x = 323,586.56 × 323,586.56
  4. Step 4: Simplify right side
    243,803.25x = 104,708,263,430.57
  5. Step 5: Solve for x
    x = 104,708,263,430.57/243,803.25
  6. Step 6: Final answer
    x = 429,478.54

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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.