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Finding the Third Proportional to 285,970 and 628,340

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Solution

The third proportional to 285,970 and 628,340 is: 1,380,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,970 : 628,340 = 628,340 : x
  2. Step 2: Convert to fraction form
    285,970/628,340 = 628,340/x
  3. Step 3: Cross multiply
    285,970x = 628,340 × 628,340
  4. Step 4: Simplify right side
    285,970x = 394,811,155,600
  5. Step 5: Solve for x
    x = 394,811,155,600/285,970
  6. Step 6: Final answer
    x = 1,380,603.40

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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.