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Finding the Third Proportional to 285,588 and 627,230

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Solution

The third proportional to 285,588 and 627,230 is: 1,377,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,588 : 627,230 = 627,230 : x
  2. Step 2: Convert to fraction form
    285,588/627,230 = 627,230/x
  3. Step 3: Cross multiply
    285,588x = 627,230 × 627,230
  4. Step 4: Simplify right side
    285,588x = 393,417,472,900
  5. Step 5: Solve for x
    x = 393,417,472,900/285,588
  6. Step 6: Final answer
    x = 1,377,570.04

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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.