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Finding the Third Proportional to 121,179 and 257,119

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Solution

The third proportional to 121,179 and 257,119 is: 545,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,179 : 257,119 = 257,119 : x
  2. Step 2: Convert to fraction form
    121,179/257,119 = 257,119/x
  3. Step 3: Cross multiply
    121,179x = 257,119 × 257,119
  4. Step 4: Simplify right side
    121,179x = 66,110,180,161
  5. Step 5: Solve for x
    x = 66,110,180,161/121,179
  6. Step 6: Final answer
    x = 545,558.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.