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Finding the Third Proportional to 121,178 and 248,232

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Solution

The third proportional to 121,178 and 248,232 is: 508,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,178 : 248,232 = 248,232 : x
  2. Step 2: Convert to fraction form
    121,178/248,232 = 248,232/x
  3. Step 3: Cross multiply
    121,178x = 248,232 × 248,232
  4. Step 4: Simplify right side
    121,178x = 61,619,125,824
  5. Step 5: Solve for x
    x = 61,619,125,824/121,178
  6. Step 6: Final answer
    x = 508,500.93

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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.