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Finding the Third Proportional to 148,149 and 324,405

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Solution

The third proportional to 148,149 and 324,405 is: 710,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,149 : 324,405 = 324,405 : x
  2. Step 2: Convert to fraction form
    148,149/324,405 = 324,405/x
  3. Step 3: Cross multiply
    148,149x = 324,405 × 324,405
  4. Step 4: Simplify right side
    148,149x = 105,238,604,025
  5. Step 5: Solve for x
    x = 105,238,604,025/148,149
  6. Step 6: Final answer
    x = 710,356.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.