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Finding the Third Proportional to 219,963 and 479,291

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Solution

The third proportional to 219,963 and 479,291 is: 1,044,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,963 : 479,291 = 479,291 : x
  2. Step 2: Convert to fraction form
    219,963/479,291 = 479,291/x
  3. Step 3: Cross multiply
    219,963x = 479,291 × 479,291
  4. Step 4: Simplify right side
    219,963x = 229,719,862,681
  5. Step 5: Solve for x
    x = 229,719,862,681/219,963
  6. Step 6: Final answer
    x = 1,044,356.84

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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.