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Finding the Third Proportional to 243,805 and 323,503

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Solution

The third proportional to 243,805 and 323,503 is: 429,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,805 : 323,503 = 323,503 : x
  2. Step 2: Convert to fraction form
    243,805/323,503 = 323,503/x
  3. Step 3: Cross multiply
    243,805x = 323,503 × 323,503
  4. Step 4: Simplify right side
    243,805x = 104,654,191,009
  5. Step 5: Solve for x
    x = 104,654,191,009/243,805
  6. Step 6: Final answer
    x = 429,253.67

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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.