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Finding the Third Proportional to 285,195 and 619,659

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Solution

The third proportional to 285,195 and 619,659 is: 1,346,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,195 : 619,659 = 619,659 : x
  2. Step 2: Convert to fraction form
    285,195/619,659 = 619,659/x
  3. Step 3: Cross multiply
    285,195x = 619,659 × 619,659
  4. Step 4: Simplify right side
    285,195x = 383,977,276,281
  5. Step 5: Solve for x
    x = 383,977,276,281/285,195
  6. Step 6: Final answer
    x = 1,346,367.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.