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Finding the Third Proportional to 283,392 and 619,488

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Solution

The third proportional to 283,392 and 619,488 is: 1,354,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,392 : 619,488 = 619,488 : x
  2. Step 2: Convert to fraction form
    283,392/619,488 = 619,488/x
  3. Step 3: Cross multiply
    283,392x = 619,488 × 619,488
  4. Step 4: Simplify right side
    283,392x = 383,765,382,144
  5. Step 5: Solve for x
    x = 383,765,382,144/283,392
  6. Step 6: Final answer
    x = 1,354,185.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.