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Finding the Third Proportional to 520,635 and 804,548

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Solution

The third proportional to 520,635 and 804,548 is: 1,243,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,635 : 804,548 = 804,548 : x
  2. Step 2: Convert to fraction form
    520,635/804,548 = 804,548/x
  3. Step 3: Cross multiply
    520,635x = 804,548 × 804,548
  4. Step 4: Simplify right side
    520,635x = 647,297,484,304
  5. Step 5: Solve for x
    x = 647,297,484,304/520,635
  6. Step 6: Final answer
    x = 1,243,284.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.