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Finding the Third Proportional to 102,809 and 237,989

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Solution

The third proportional to 102,809 and 237,989 is: 550,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809 : 237,989 = 237,989 : x
  2. Step 2: Convert to fraction form
    102,809/237,989 = 237,989/x
  3. Step 3: Cross multiply
    102,809x = 237,989 × 237,989
  4. Step 4: Simplify right side
    102,809x = 56,638,764,121
  5. Step 5: Solve for x
    x = 56,638,764,121/102,809
  6. Step 6: Final answer
    x = 550,912.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.