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Finding the Third Proportional to 243,803.04 and 323,500.39

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Solution

The third proportional to 243,803.04 and 323,500.39 is: 429,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,803.04 : 323,500.39 = 323,500.39 : x
  2. Step 2: Convert to fraction form
    243,803.04/323,500.39 = 323,500.39/x
  3. Step 3: Cross multiply
    243,803.04x = 323,500.39 × 323,500.39
  4. Step 4: Simplify right side
    243,803.04x = 104,652,505,261.87
  5. Step 5: Solve for x
    x = 104,652,505,261.87/243,803.04
  6. Step 6: Final answer
    x = 429,250.21

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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.