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Finding the Third Proportional to 284,648 and 619,408

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Solution

The third proportional to 284,648 and 619,408 is: 1,347,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,648 : 619,408 = 619,408 : x
  2. Step 2: Convert to fraction form
    284,648/619,408 = 619,408/x
  3. Step 3: Cross multiply
    284,648x = 619,408 × 619,408
  4. Step 4: Simplify right side
    284,648x = 383,666,270,464
  5. Step 5: Solve for x
    x = 383,666,270,464/284,648
  6. Step 6: Final answer
    x = 1,347,862.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.