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Finding the Third Proportional to 262,804.50 and 381,358.13

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Solution

The third proportional to 262,804.50 and 381,358.13 is: 553,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,804.50 : 381,358.13 = 381,358.13 : x
  2. Step 2: Convert to fraction form
    262,804.50/381,358.13 = 381,358.13/x
  3. Step 3: Cross multiply
    262,804.50x = 381,358.13 × 381,358.13
  4. Step 4: Simplify right side
    262,804.50x = 145,434,019,503.52
  5. Step 5: Solve for x
    x = 145,434,019,503.52/262,804.50
  6. Step 6: Final answer
    x = 553,392.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.