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Finding the Third Proportional to 242,655.75 and 323,271.56

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Solution

The third proportional to 242,655.75 and 323,271.56 is: 430,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,655.75 : 323,271.56 = 323,271.56 : x
  2. Step 2: Convert to fraction form
    242,655.75/323,271.56 = 323,271.56/x
  3. Step 3: Cross multiply
    242,655.75x = 323,271.56 × 323,271.56
  4. Step 4: Simplify right side
    242,655.75x = 104,504,503,121.19
  5. Step 5: Solve for x
    x = 104,504,503,121.19/242,655.75
  6. Step 6: Final answer
    x = 430,669.80

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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.