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Finding the Third Proportional to 397,056 and 621,504

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Solution

The third proportional to 397,056 and 621,504 is: 972,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,056 : 621,504 = 621,504 : x
  2. Step 2: Convert to fraction form
    397,056/621,504 = 621,504/x
  3. Step 3: Cross multiply
    397,056x = 621,504 × 621,504
  4. Step 4: Simplify right side
    397,056x = 386,267,222,016
  5. Step 5: Solve for x
    x = 386,267,222,016/397,056
  6. Step 6: Final answer
    x = 972,828.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.