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Finding the Third Proportional to 148,909 and 218,989

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Solution

The third proportional to 148,909 and 218,989 is: 322,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,909 : 218,989 = 218,989 : x
  2. Step 2: Convert to fraction form
    148,909/218,989 = 218,989/x
  3. Step 3: Cross multiply
    148,909x = 218,989 × 218,989
  4. Step 4: Simplify right side
    148,909x = 47,956,182,121
  5. Step 5: Solve for x
    x = 47,956,182,121/148,909
  6. Step 6: Final answer
    x = 322,050.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.