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Finding the Third Proportional to 69,427.13 and 143,785.13

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Solution

The third proportional to 69,427.13 and 143,785.13 is: 297,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,427.13 : 143,785.13 = 143,785.13 : x
  2. Step 2: Convert to fraction form
    69,427.13/143,785.13 = 143,785.13/x
  3. Step 3: Cross multiply
    69,427.13x = 143,785.13 × 143,785.13
  4. Step 4: Simplify right side
    69,427.13x = 20,674,162,171.27
  5. Step 5: Solve for x
    x = 20,674,162,171.27/69,427.13
  6. Step 6: Final answer
    x = 297,782.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.