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Finding the Third Proportional to 411,240 and 628,524

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Solution

The third proportional to 411,240 and 628,524 is: 960,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,240 : 628,524 = 628,524 : x
  2. Step 2: Convert to fraction form
    411,240/628,524 = 628,524/x
  3. Step 3: Cross multiply
    411,240x = 628,524 × 628,524
  4. Step 4: Simplify right side
    411,240x = 395,042,418,576
  5. Step 5: Solve for x
    x = 395,042,418,576/411,240
  6. Step 6: Final answer
    x = 960,612.83

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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.