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Finding the Third Proportional to 121,675 and 262,071

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Solution

The third proportional to 121,675 and 262,071 is: 564,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,675 : 262,071 = 262,071 : x
  2. Step 2: Convert to fraction form
    121,675/262,071 = 262,071/x
  3. Step 3: Cross multiply
    121,675x = 262,071 × 262,071
  4. Step 4: Simplify right side
    121,675x = 68,681,209,041
  5. Step 5: Solve for x
    x = 68,681,209,041/121,675
  6. Step 6: Final answer
    x = 564,464.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.