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Finding the Third Proportional to 520,434 and 1,082,421

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Solution

The third proportional to 520,434 and 1,082,421 is: 2,251,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,434 : 1,082,421 = 1,082,421 : x
  2. Step 2: Convert to fraction form
    520,434/1,082,421 = 1,082,421/x
  3. Step 3: Cross multiply
    520,434x = 1,082,421 × 1,082,421
  4. Step 4: Simplify right side
    520,434x = 1,171,635,221,241
  5. Step 5: Solve for x
    x = 1,171,635,221,241/520,434
  6. Step 6: Final answer
    x = 2,251,265.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.