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Finding the Third Proportional to 219,903 and 480,291

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Solution

The third proportional to 219,903 and 480,291 is: 1,049,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,903 : 480,291 = 480,291 : x
  2. Step 2: Convert to fraction form
    219,903/480,291 = 480,291/x
  3. Step 3: Cross multiply
    219,903x = 480,291 × 480,291
  4. Step 4: Simplify right side
    219,903x = 230,679,444,681
  5. Step 5: Solve for x
    x = 230,679,444,681/219,903
  6. Step 6: Final answer
    x = 1,049,005.45

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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.