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Finding the Third Proportional to 285,436 and 627,370

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Solution

The third proportional to 285,436 and 627,370 is: 1,378,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,436 : 627,370 = 627,370 : x
  2. Step 2: Convert to fraction form
    285,436/627,370 = 627,370/x
  3. Step 3: Cross multiply
    285,436x = 627,370 × 627,370
  4. Step 4: Simplify right side
    285,436x = 393,593,116,900
  5. Step 5: Solve for x
    x = 393,593,116,900/285,436
  6. Step 6: Final answer
    x = 1,378,918.98

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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.