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Finding the Third Proportional to 245,669 and 520,861

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Solution

The third proportional to 245,669 and 520,861 is: 1,104,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,669 : 520,861 = 520,861 : x
  2. Step 2: Convert to fraction form
    245,669/520,861 = 520,861/x
  3. Step 3: Cross multiply
    245,669x = 520,861 × 520,861
  4. Step 4: Simplify right side
    245,669x = 271,296,181,321
  5. Step 5: Solve for x
    x = 271,296,181,321/245,669
  6. Step 6: Final answer
    x = 1,104,315.89

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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.