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Finding the Third Proportional to 121,710 and 177,165

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Solution

The third proportional to 121,710 and 177,165 is: 257,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,710 : 177,165 = 177,165 : x
  2. Step 2: Convert to fraction form
    121,710/177,165 = 177,165/x
  3. Step 3: Cross multiply
    121,710x = 177,165 × 177,165
  4. Step 4: Simplify right side
    121,710x = 31,387,437,225
  5. Step 5: Solve for x
    x = 31,387,437,225/121,710
  6. Step 6: Final answer
    x = 257,887.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.