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Finding the Third Proportional to 138,999.80 and 303,491.81

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Solution

The third proportional to 138,999.80 and 303,491.81 is: 662,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,999.80 : 303,491.81 = 303,491.81 : x
  2. Step 2: Convert to fraction form
    138,999.80/303,491.81 = 303,491.81/x
  3. Step 3: Cross multiply
    138,999.80x = 303,491.81 × 303,491.81
  4. Step 4: Simplify right side
    138,999.80x = 92,107,280,254.54
  5. Step 5: Solve for x
    x = 92,107,280,254.54/138,999.80
  6. Step 6: Final answer
    x = 662,643.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.