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Finding the Third Proportional to 347,007.38 and 472,738.50

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Solution

The third proportional to 347,007.38 and 472,738.50 is: 644,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,007.38 : 472,738.50 = 472,738.50 : x
  2. Step 2: Convert to fraction form
    347,007.38/472,738.50 = 472,738.50/x
  3. Step 3: Cross multiply
    347,007.38x = 472,738.50 × 472,738.50
  4. Step 4: Simplify right side
    347,007.38x = 223,481,689,382.25
  5. Step 5: Solve for x
    x = 223,481,689,382.25/347,007.38
  6. Step 6: Final answer
    x = 644,025.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.