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Finding the Third Proportional to 121,302 and 263,219.63

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Solution

The third proportional to 121,302 and 263,219.63 is: 571,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,302 : 263,219.63 = 263,219.63 : x
  2. Step 2: Convert to fraction form
    121,302/263,219.63 = 263,219.63/x
  3. Step 3: Cross multiply
    121,302x = 263,219.63 × 263,219.63
  4. Step 4: Simplify right side
    121,302x = 69,284,570,985.14
  5. Step 5: Solve for x
    x = 69,284,570,985.14/121,302
  6. Step 6: Final answer
    x = 571,174.18

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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.