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Finding the Third Proportional to 411,218.25 and 645,228

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Solution

The third proportional to 411,218.25 and 645,228 is: 1,012,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,218.25 : 645,228 = 645,228 : x
  2. Step 2: Convert to fraction form
    411,218.25/645,228 = 645,228/x
  3. Step 3: Cross multiply
    411,218.25x = 645,228 × 645,228
  4. Step 4: Simplify right side
    411,218.25x = 416,319,171,984
  5. Step 5: Solve for x
    x = 416,319,171,984/411,218.25
  6. Step 6: Final answer
    x = 1,012,404.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.