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Finding the Third Proportional to 148,828 and 208,176

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Solution

The third proportional to 148,828 and 208,176 is: 291,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,828 : 208,176 = 208,176 : x
  2. Step 2: Convert to fraction form
    148,828/208,176 = 208,176/x
  3. Step 3: Cross multiply
    148,828x = 208,176 × 208,176
  4. Step 4: Simplify right side
    148,828x = 43,337,246,976
  5. Step 5: Solve for x
    x = 43,337,246,976/148,828
  6. Step 6: Final answer
    x = 291,190.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.