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Finding the Third Proportional to 245,660 and 520,844

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Solution

The third proportional to 245,660 and 520,844 is: 1,104,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,660 : 520,844 = 520,844 : x
  2. Step 2: Convert to fraction form
    245,660/520,844 = 520,844/x
  3. Step 3: Cross multiply
    245,660x = 520,844 × 520,844
  4. Step 4: Simplify right side
    245,660x = 271,278,472,336
  5. Step 5: Solve for x
    x = 271,278,472,336/245,660
  6. Step 6: Final answer
    x = 1,104,284.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.