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Finding the Third Proportional to 219,880 and 481,842

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Solution

The third proportional to 219,880 and 481,842 is: 1,055,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,880 : 481,842 = 481,842 : x
  2. Step 2: Convert to fraction form
    219,880/481,842 = 481,842/x
  3. Step 3: Cross multiply
    219,880x = 481,842 × 481,842
  4. Step 4: Simplify right side
    219,880x = 232,171,712,964
  5. Step 5: Solve for x
    x = 232,171,712,964/219,880
  6. Step 6: Final answer
    x = 1,055,901.91

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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.