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Finding the Third Proportional to 411,225 and 645,238

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Solution

The third proportional to 411,225 and 645,238 is: 1,012,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,225 : 645,238 = 645,238 : x
  2. Step 2: Convert to fraction form
    411,225/645,238 = 645,238/x
  3. Step 3: Cross multiply
    411,225x = 645,238 × 645,238
  4. Step 4: Simplify right side
    411,225x = 416,332,076,644
  5. Step 5: Solve for x
    x = 416,332,076,644/411,225
  6. Step 6: Final answer
    x = 1,012,419.18

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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.