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Finding the Third Proportional to 2,112,331.50 and 3,178,332

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Solution

The third proportional to 2,112,331.50 and 3,178,332 is: 4,782,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,331.50 : 3,178,332 = 3,178,332 : x
  2. Step 2: Convert to fraction form
    2,112,331.50/3,178,332 = 3,178,332/x
  3. Step 3: Cross multiply
    2,112,331.50x = 3,178,332 × 3,178,332
  4. Step 4: Simplify right side
    2,112,331.50x = 10,101,794,302,224
  5. Step 5: Solve for x
    x = 10,101,794,302,224/2,112,331.50
  6. Step 6: Final answer
    x = 4,782,295.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.