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Finding the Third Proportional to 288,418.50 and 447,747

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Solution

The third proportional to 288,418.50 and 447,747 is: 695,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,418.50 : 447,747 = 447,747 : x
  2. Step 2: Convert to fraction form
    288,418.50/447,747 = 447,747/x
  3. Step 3: Cross multiply
    288,418.50x = 447,747 × 447,747
  4. Step 4: Simplify right side
    288,418.50x = 200,477,376,009
  5. Step 5: Solve for x
    x = 200,477,376,009/288,418.50
  6. Step 6: Final answer
    x = 695,091.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.