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Finding the Third Proportional to 148,909 and 321,147

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Solution

The third proportional to 148,909 and 321,147 is: 692,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,909 : 321,147 = 321,147 : x
  2. Step 2: Convert to fraction form
    148,909/321,147 = 321,147/x
  3. Step 3: Cross multiply
    148,909x = 321,147 × 321,147
  4. Step 4: Simplify right side
    148,909x = 103,135,395,609
  5. Step 5: Solve for x
    x = 103,135,395,609/148,909
  6. Step 6: Final answer
    x = 692,606.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.