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Finding the Third Proportional to 291,532 and 627,800

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Solution

The third proportional to 291,532 and 627,800 is: 1,351,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,532 : 627,800 = 627,800 : x
  2. Step 2: Convert to fraction form
    291,532/627,800 = 627,800/x
  3. Step 3: Cross multiply
    291,532x = 627,800 × 627,800
  4. Step 4: Simplify right side
    291,532x = 394,132,840,000
  5. Step 5: Solve for x
    x = 394,132,840,000/291,532
  6. Step 6: Final answer
    x = 1,351,936.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.