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Finding the Third Proportional to 247,267.69 and 385,663.78

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Solution

The third proportional to 247,267.69 and 385,663.78 is: 601,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,267.69 : 385,663.78 = 385,663.78 : x
  2. Step 2: Convert to fraction form
    247,267.69/385,663.78 = 385,663.78/x
  3. Step 3: Cross multiply
    247,267.69x = 385,663.78 × 385,663.78
  4. Step 4: Simplify right side
    247,267.69x = 148,736,552,168.05
  5. Step 5: Solve for x
    x = 148,736,552,168.05/247,267.69
  6. Step 6: Final answer
    x = 601,520.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.