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Finding the Third Proportional to 520,634 and 804,546

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Solution

The third proportional to 520,634 and 804,546 is: 1,243,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,634 : 804,546 = 804,546 : x
  2. Step 2: Convert to fraction form
    520,634/804,546 = 804,546/x
  3. Step 3: Cross multiply
    520,634x = 804,546 × 804,546
  4. Step 4: Simplify right side
    520,634x = 647,294,266,116
  5. Step 5: Solve for x
    x = 647,294,266,116/520,634
  6. Step 6: Final answer
    x = 1,243,280.82

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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.