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Finding the Third Proportional to 121,201.31 and 263,390.06

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Solution

The third proportional to 121,201.31 and 263,390.06 is: 572,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,201.31 : 263,390.06 = 263,390.06 : x
  2. Step 2: Convert to fraction form
    121,201.31/263,390.06 = 263,390.06/x
  3. Step 3: Cross multiply
    121,201.31x = 263,390.06 × 263,390.06
  4. Step 4: Simplify right side
    121,201.31x = 69,374,325,023.75
  5. Step 5: Solve for x
    x = 69,374,325,023.75/121,201.31
  6. Step 6: Final answer
    x = 572,389.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.