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Finding the Third Proportional to 520,623 and 804,530

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Solution

The third proportional to 520,623 and 804,530 is: 1,243,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,623 : 804,530 = 804,530 : x
  2. Step 2: Convert to fraction form
    520,623/804,530 = 804,530/x
  3. Step 3: Cross multiply
    520,623x = 804,530 × 804,530
  4. Step 4: Simplify right side
    520,623x = 647,268,520,900
  5. Step 5: Solve for x
    x = 647,268,520,900/520,623
  6. Step 6: Final answer
    x = 1,243,257.64

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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.