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Finding the Third Proportional to 121,165.88 and 248,209.31

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Solution

The third proportional to 121,165.88 and 248,209.31 is: 508,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,165.88 : 248,209.31 = 248,209.31 : x
  2. Step 2: Convert to fraction form
    121,165.88/248,209.31 = 248,209.31/x
  3. Step 3: Cross multiply
    121,165.88x = 248,209.31 × 248,209.31
  4. Step 4: Simplify right side
    121,165.88x = 61,607,862,811.72
  5. Step 5: Solve for x
    x = 61,607,862,811.72/121,165.88
  6. Step 6: Final answer
    x = 508,458.86

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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.