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Finding the Third Proportional to 380,240 and 809,424

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Solution

The third proportional to 380,240 and 809,424 is: 1,723,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,240 : 809,424 = 809,424 : x
  2. Step 2: Convert to fraction form
    380,240/809,424 = 809,424/x
  3. Step 3: Cross multiply
    380,240x = 809,424 × 809,424
  4. Step 4: Simplify right side
    380,240x = 655,167,211,776
  5. Step 5: Solve for x
    x = 655,167,211,776/380,240
  6. Step 6: Final answer
    x = 1,723,036.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.