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Finding the Third Proportional to 121,040 and 263,602

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Solution

The third proportional to 121,040 and 263,602 is: 574,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,040 : 263,602 = 263,602 : x
  2. Step 2: Convert to fraction form
    121,040/263,602 = 263,602/x
  3. Step 3: Cross multiply
    121,040x = 263,602 × 263,602
  4. Step 4: Simplify right side
    121,040x = 69,486,014,404
  5. Step 5: Solve for x
    x = 69,486,014,404/121,040
  6. Step 6: Final answer
    x = 574,074.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.