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Finding the Third Proportional to 285,993 and 621,785.25

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Solution

The third proportional to 285,993 and 621,785.25 is: 1,351,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,993 : 621,785.25 = 621,785.25 : x
  2. Step 2: Convert to fraction form
    285,993/621,785.25 = 621,785.25/x
  3. Step 3: Cross multiply
    285,993x = 621,785.25 × 621,785.25
  4. Step 4: Simplify right side
    285,993x = 386,616,897,117.56
  5. Step 5: Solve for x
    x = 386,616,897,117.56/285,993
  6. Step 6: Final answer
    x = 1,351,840.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.