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Finding the Third Proportional to 245,668 and 520,859

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Solution

The third proportional to 245,668 and 520,859 is: 1,104,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,668 : 520,859 = 520,859 : x
  2. Step 2: Convert to fraction form
    245,668/520,859 = 520,859/x
  3. Step 3: Cross multiply
    245,668x = 520,859 × 520,859
  4. Step 4: Simplify right side
    245,668x = 271,294,097,881
  5. Step 5: Solve for x
    x = 271,294,097,881/245,668
  6. Step 6: Final answer
    x = 1,104,311.91

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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.