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Finding the Third Proportional to 411,210 and 645,212

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Solution

The third proportional to 411,210 and 645,212 is: 1,012,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,210 : 645,212 = 645,212 : x
  2. Step 2: Convert to fraction form
    411,210/645,212 = 645,212/x
  3. Step 3: Cross multiply
    411,210x = 645,212 × 645,212
  4. Step 4: Simplify right side
    411,210x = 416,298,524,944
  5. Step 5: Solve for x
    x = 416,298,524,944/411,210
  6. Step 6: Final answer
    x = 1,012,374.52

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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.