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Finding the Third Proportional to 115,569 and 177,391.50

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Solution

The third proportional to 115,569 and 177,391.50 is: 272,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,569 : 177,391.50 = 177,391.50 : x
  2. Step 2: Convert to fraction form
    115,569/177,391.50 = 177,391.50/x
  3. Step 3: Cross multiply
    115,569x = 177,391.50 × 177,391.50
  4. Step 4: Simplify right side
    115,569x = 31,467,744,272.25
  5. Step 5: Solve for x
    x = 31,467,744,272.25/115,569
  6. Step 6: Final answer
    x = 272,285.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.