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Finding the Third Proportional to 121,168 and 248,213

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Solution

The third proportional to 121,168 and 248,213 is: 508,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,168 : 248,213 = 248,213 : x
  2. Step 2: Convert to fraction form
    121,168/248,213 = 248,213/x
  3. Step 3: Cross multiply
    121,168x = 248,213 × 248,213
  4. Step 4: Simplify right side
    121,168x = 61,609,693,369
  5. Step 5: Solve for x
    x = 61,609,693,369/121,168
  6. Step 6: Final answer
    x = 508,465.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.