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Finding the Third Proportional to 102,938 and 220,145

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Solution

The third proportional to 102,938 and 220,145 is: 470,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,938 : 220,145 = 220,145 : x
  2. Step 2: Convert to fraction form
    102,938/220,145 = 220,145/x
  3. Step 3: Cross multiply
    102,938x = 220,145 × 220,145
  4. Step 4: Simplify right side
    102,938x = 48,463,821,025
  5. Step 5: Solve for x
    x = 48,463,821,025/102,938
  6. Step 6: Final answer
    x = 470,805.93

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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.