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Finding the Third Proportional to 239,815 and 518,053

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Solution

The third proportional to 239,815 and 518,053 is: 1,119,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,815 : 518,053 = 518,053 : x
  2. Step 2: Convert to fraction form
    239,815/518,053 = 518,053/x
  3. Step 3: Cross multiply
    239,815x = 518,053 × 518,053
  4. Step 4: Simplify right side
    239,815x = 268,378,910,809
  5. Step 5: Solve for x
    x = 268,378,910,809/239,815
  6. Step 6: Final answer
    x = 1,119,108.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.