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Finding the Third Proportional to 411,243 and 628,530

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Solution

The third proportional to 411,243 and 628,530 is: 960,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,243 : 628,530 = 628,530 : x
  2. Step 2: Convert to fraction form
    411,243/628,530 = 628,530/x
  3. Step 3: Cross multiply
    411,243x = 628,530 × 628,530
  4. Step 4: Simplify right side
    411,243x = 395,049,960,900
  5. Step 5: Solve for x
    x = 395,049,960,900/411,243
  6. Step 6: Final answer
    x = 960,624.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.