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Finding the Third Proportional to 205,311 and 438,995

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Solution

The third proportional to 205,311 and 438,995 is: 938,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,311 : 438,995 = 438,995 : x
  2. Step 2: Convert to fraction form
    205,311/438,995 = 438,995/x
  3. Step 3: Cross multiply
    205,311x = 438,995 × 438,995
  4. Step 4: Simplify right side
    205,311x = 192,716,610,025
  5. Step 5: Solve for x
    x = 192,716,610,025/205,311
  6. Step 6: Final answer
    x = 938,657.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.