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Finding the Third Proportional to 122,110 and 177,575

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Solution

The third proportional to 122,110 and 177,575 is: 258,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,110 : 177,575 = 177,575 : x
  2. Step 2: Convert to fraction form
    122,110/177,575 = 177,575/x
  3. Step 3: Cross multiply
    122,110x = 177,575 × 177,575
  4. Step 4: Simplify right side
    122,110x = 31,532,880,625
  5. Step 5: Solve for x
    x = 31,532,880,625/122,110
  6. Step 6: Final answer
    x = 258,233.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.