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Finding the Third Proportional to 411,229 and 645,244

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Solution

The third proportional to 411,229 and 645,244 is: 1,012,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,229 : 645,244 = 645,244 : x
  2. Step 2: Convert to fraction form
    411,229/645,244 = 645,244/x
  3. Step 3: Cross multiply
    411,229x = 645,244 × 645,244
  4. Step 4: Simplify right side
    411,229x = 416,339,819,536
  5. Step 5: Solve for x
    x = 416,339,819,536/411,229
  6. Step 6: Final answer
    x = 1,012,428.16

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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.