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Finding the Third Proportional to 320,529 and 685,527

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Solution

The third proportional to 320,529 and 685,527 is: 1,466,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,529 : 685,527 = 685,527 : x
  2. Step 2: Convert to fraction form
    320,529/685,527 = 685,527/x
  3. Step 3: Cross multiply
    320,529x = 685,527 × 685,527
  4. Step 4: Simplify right side
    320,529x = 469,947,267,729
  5. Step 5: Solve for x
    x = 469,947,267,729/320,529
  6. Step 6: Final answer
    x = 1,466,161.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.