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Finding the Third Proportional to 133,741.13 and 289,785.09

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Solution

The third proportional to 133,741.13 and 289,785.09 is: 627,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,741.13 : 289,785.09 = 289,785.09 : x
  2. Step 2: Convert to fraction form
    133,741.13/289,785.09 = 289,785.09/x
  3. Step 3: Cross multiply
    133,741.13x = 289,785.09 × 289,785.09
  4. Step 4: Simplify right side
    133,741.13x = 83,975,400,559.70
  5. Step 5: Solve for x
    x = 83,975,400,559.70/133,741.13
  6. Step 6: Final answer
    x = 627,895.13

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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.