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Finding the Third Proportional to 261,804 and 397,566

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Solution

The third proportional to 261,804 and 397,566 is: 603,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,804 : 397,566 = 397,566 : x
  2. Step 2: Convert to fraction form
    261,804/397,566 = 397,566/x
  3. Step 3: Cross multiply
    261,804x = 397,566 × 397,566
  4. Step 4: Simplify right side
    261,804x = 158,058,724,356
  5. Step 5: Solve for x
    x = 158,058,724,356/261,804
  6. Step 6: Final answer
    x = 603,729.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.