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Finding the Third Proportional to 121,196.25 and 248,406.75

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Solution

The third proportional to 121,196.25 and 248,406.75 is: 509,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,196.25 : 248,406.75 = 248,406.75 : x
  2. Step 2: Convert to fraction form
    121,196.25/248,406.75 = 248,406.75/x
  3. Step 3: Cross multiply
    121,196.25x = 248,406.75 × 248,406.75
  4. Step 4: Simplify right side
    121,196.25x = 61,705,913,445.56
  5. Step 5: Solve for x
    x = 61,705,913,445.56/121,196.25
  6. Step 6: Final answer
    x = 509,140.45

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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.