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Finding the Third Proportional to 205,309 and 438,991

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Solution

The third proportional to 205,309 and 438,991 is: 938,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,309 : 438,991 = 438,991 : x
  2. Step 2: Convert to fraction form
    205,309/438,991 = 438,991/x
  3. Step 3: Cross multiply
    205,309x = 438,991 × 438,991
  4. Step 4: Simplify right side
    205,309x = 192,713,098,081
  5. Step 5: Solve for x
    x = 192,713,098,081/205,309
  6. Step 6: Final answer
    x = 938,649.05

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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.