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Finding the Third Proportional to 342,007.31 and 744,202.69

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Solution

The third proportional to 342,007.31 and 744,202.69 is: 1,619,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,007.31 : 744,202.69 = 744,202.69 : x
  2. Step 2: Convert to fraction form
    342,007.31/744,202.69 = 744,202.69/x
  3. Step 3: Cross multiply
    342,007.31x = 744,202.69 × 744,202.69
  4. Step 4: Simplify right side
    342,007.31x = 553,837,640,082.22
  5. Step 5: Solve for x
    x = 553,837,640,082.22/342,007.31
  6. Step 6: Final answer
    x = 1,619,373.68

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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.