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Finding the Third Proportional to 121,212 and 257,976

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Solution

The third proportional to 121,212 and 257,976 is: 549,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,212 : 257,976 = 257,976 : x
  2. Step 2: Convert to fraction form
    121,212/257,976 = 257,976/x
  3. Step 3: Cross multiply
    121,212x = 257,976 × 257,976
  4. Step 4: Simplify right side
    121,212x = 66,551,616,576
  5. Step 5: Solve for x
    x = 66,551,616,576/121,212
  6. Step 6: Final answer
    x = 549,051.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.