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Finding the Third Proportional to 109,443.38 and 239,645.81

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Solution

The third proportional to 109,443.38 and 239,645.81 is: 524,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,443.38 : 239,645.81 = 239,645.81 : x
  2. Step 2: Convert to fraction form
    109,443.38/239,645.81 = 239,645.81/x
  3. Step 3: Cross multiply
    109,443.38x = 239,645.81 × 239,645.81
  4. Step 4: Simplify right side
    109,443.38x = 57,430,115,448.79
  5. Step 5: Solve for x
    x = 57,430,115,448.79/109,443.38
  6. Step 6: Final answer
    x = 524,747.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.