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Finding the Third Proportional to 520,728 and 781,092

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Solution

The third proportional to 520,728 and 781,092 is: 1,171,638

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,728 : 781,092 = 781,092 : x
  2. Step 2: Convert to fraction form
    520,728/781,092 = 781,092/x
  3. Step 3: Cross multiply
    520,728x = 781,092 × 781,092
  4. Step 4: Simplify right side
    520,728x = 610,104,712,464
  5. Step 5: Solve for x
    x = 610,104,712,464/520,728
  6. Step 6: Final answer
    x = 1,171,638

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.