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Finding the Third Proportional to 103,261 and 212,081

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Solution

The third proportional to 103,261 and 212,081 is: 435,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,261 : 212,081 = 212,081 : x
  2. Step 2: Convert to fraction form
    103,261/212,081 = 212,081/x
  3. Step 3: Cross multiply
    103,261x = 212,081 × 212,081
  4. Step 4: Simplify right side
    103,261x = 44,978,350,561
  5. Step 5: Solve for x
    x = 44,978,350,561/103,261
  6. Step 6: Final answer
    x = 435,579.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.