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Finding the Third Proportional to 203,658 and 438,660

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Solution

The third proportional to 203,658 and 438,660 is: 944,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,658 : 438,660 = 438,660 : x
  2. Step 2: Convert to fraction form
    203,658/438,660 = 438,660/x
  3. Step 3: Cross multiply
    203,658x = 438,660 × 438,660
  4. Step 4: Simplify right side
    203,658x = 192,422,595,600
  5. Step 5: Solve for x
    x = 192,422,595,600/203,658
  6. Step 6: Final answer
    x = 944,832.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.