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Finding the Third Proportional to 522,586 and 763,713

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Solution

The third proportional to 522,586 and 763,713 is: 1,116,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,586 : 763,713 = 763,713 : x
  2. Step 2: Convert to fraction form
    522,586/763,713 = 763,713/x
  3. Step 3: Cross multiply
    522,586x = 763,713 × 763,713
  4. Step 4: Simplify right side
    522,586x = 583,257,546,369
  5. Step 5: Solve for x
    x = 583,257,546,369/522,586
  6. Step 6: Final answer
    x = 1,116,098.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.