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Finding the Third Proportional to 121,161 and 257,010

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Solution

The third proportional to 121,161 and 257,010 is: 545,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,161 : 257,010 = 257,010 : x
  2. Step 2: Convert to fraction form
    121,161/257,010 = 257,010/x
  3. Step 3: Cross multiply
    121,161x = 257,010 × 257,010
  4. Step 4: Simplify right side
    121,161x = 66,054,140,100
  5. Step 5: Solve for x
    x = 66,054,140,100/121,161
  6. Step 6: Final answer
    x = 545,176.58

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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.