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Finding the Third Proportional to 520,646 and 804,565

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Solution

The third proportional to 520,646 and 804,565 is: 1,243,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,646 : 804,565 = 804,565 : x
  2. Step 2: Convert to fraction form
    520,646/804,565 = 804,565/x
  3. Step 3: Cross multiply
    520,646x = 804,565 × 804,565
  4. Step 4: Simplify right side
    520,646x = 647,324,839,225
  5. Step 5: Solve for x
    x = 647,324,839,225/520,646
  6. Step 6: Final answer
    x = 1,243,310.89

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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.