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Finding the Third Proportional to 219,901 and 480,289

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Solution

The third proportional to 219,901 and 480,289 is: 1,049,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,901 : 480,289 = 480,289 : x
  2. Step 2: Convert to fraction form
    219,901/480,289 = 480,289/x
  3. Step 3: Cross multiply
    219,901x = 480,289 × 480,289
  4. Step 4: Simplify right side
    219,901x = 230,677,523,521
  5. Step 5: Solve for x
    x = 230,677,523,521/219,901
  6. Step 6: Final answer
    x = 1,049,006.25

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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.