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Finding the Third Proportional to 219,491 and 480,859

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Solution

The third proportional to 219,491 and 480,859 is: 1,053,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,491 : 480,859 = 480,859 : x
  2. Step 2: Convert to fraction form
    219,491/480,859 = 480,859/x
  3. Step 3: Cross multiply
    219,491x = 480,859 × 480,859
  4. Step 4: Simplify right side
    219,491x = 231,225,377,881
  5. Step 5: Solve for x
    x = 231,225,377,881/219,491
  6. Step 6: Final answer
    x = 1,053,461.77

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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.