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Finding the Third Proportional to 358,727.06 and 787,429.69

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Solution

The third proportional to 358,727.06 and 787,429.69 is: 1,728,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,727.06 : 787,429.69 = 787,429.69 : x
  2. Step 2: Convert to fraction form
    358,727.06/787,429.69 = 787,429.69/x
  3. Step 3: Cross multiply
    358,727.06x = 787,429.69 × 787,429.69
  4. Step 4: Simplify right side
    358,727.06x = 620,045,512,756.35
  5. Step 5: Solve for x
    x = 620,045,512,756.35/358,727.06
  6. Step 6: Final answer
    x = 1,728,460.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.