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Finding the Third Proportional to 143,785.13 and 311,374.13

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Solution

The third proportional to 143,785.13 and 311,374.13 is: 674,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,785.13 : 311,374.13 = 311,374.13 : x
  2. Step 2: Convert to fraction form
    143,785.13/311,374.13 = 311,374.13/x
  3. Step 3: Cross multiply
    143,785.13x = 311,374.13 × 311,374.13
  4. Step 4: Simplify right side
    143,785.13x = 96,953,845,719.52
  5. Step 5: Solve for x
    x = 96,953,845,719.52/143,785.13
  6. Step 6: Final answer
    x = 674,296.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.