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Finding the Third Proportional to 148,413 and 349,990

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Solution

The third proportional to 148,413 and 349,990 is: 825,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,413 : 349,990 = 349,990 : x
  2. Step 2: Convert to fraction form
    148,413/349,990 = 349,990/x
  3. Step 3: Cross multiply
    148,413x = 349,990 × 349,990
  4. Step 4: Simplify right side
    148,413x = 122,493,000,100
  5. Step 5: Solve for x
    x = 122,493,000,100/148,413
  6. Step 6: Final answer
    x = 825,352.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.