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Finding the Third Proportional to 520,664 and 804,591

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Solution

The third proportional to 520,664 and 804,591 is: 1,243,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,664 : 804,591 = 804,591 : x
  2. Step 2: Convert to fraction form
    520,664/804,591 = 804,591/x
  3. Step 3: Cross multiply
    520,664x = 804,591 × 804,591
  4. Step 4: Simplify right side
    520,664x = 647,366,677,281
  5. Step 5: Solve for x
    x = 647,366,677,281/520,664
  6. Step 6: Final answer
    x = 1,243,348.26

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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.