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Finding the Third Proportional to 300,120 and 640,416

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Solution

The third proportional to 300,120 and 640,416 is: 1,366,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,120 : 640,416 = 640,416 : x
  2. Step 2: Convert to fraction form
    300,120/640,416 = 640,416/x
  3. Step 3: Cross multiply
    300,120x = 640,416 × 640,416
  4. Step 4: Simplify right side
    300,120x = 410,132,653,056
  5. Step 5: Solve for x
    x = 410,132,653,056/300,120
  6. Step 6: Final answer
    x = 1,366,562.22

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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.