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Finding the Third Proportional to 285,597 and 627,235

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Solution

The third proportional to 285,597 and 627,235 is: 1,377,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,597 : 627,235 = 627,235 : x
  2. Step 2: Convert to fraction form
    285,597/627,235 = 627,235/x
  3. Step 3: Cross multiply
    285,597x = 627,235 × 627,235
  4. Step 4: Simplify right side
    285,597x = 393,423,745,225
  5. Step 5: Solve for x
    x = 393,423,745,225/285,597
  6. Step 6: Final answer
    x = 1,377,548.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.