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Finding the Third Proportional to 273,447 and 413,949

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Solution

The third proportional to 273,447 and 413,949 is: 626,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,447 : 413,949 = 413,949 : x
  2. Step 2: Convert to fraction form
    273,447/413,949 = 413,949/x
  3. Step 3: Cross multiply
    273,447x = 413,949 × 413,949
  4. Step 4: Simplify right side
    273,447x = 171,353,774,601
  5. Step 5: Solve for x
    x = 171,353,774,601/273,447
  6. Step 6: Final answer
    x = 626,643.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.