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Finding the Third Proportional to 115,455 and 173,520

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Solution

The third proportional to 115,455 and 173,520 is: 260,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,455 : 173,520 = 173,520 : x
  2. Step 2: Convert to fraction form
    115,455/173,520 = 173,520/x
  3. Step 3: Cross multiply
    115,455x = 173,520 × 173,520
  4. Step 4: Simplify right side
    115,455x = 30,109,190,400
  5. Step 5: Solve for x
    x = 30,109,190,400/115,455
  6. Step 6: Final answer
    x = 260,787.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.