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Finding the Third Proportional to 121,497 and 262,962

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Solution

The third proportional to 121,497 and 262,962 is: 569,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,497 : 262,962 = 262,962 : x
  2. Step 2: Convert to fraction form
    121,497/262,962 = 262,962/x
  3. Step 3: Cross multiply
    121,497x = 262,962 × 262,962
  4. Step 4: Simplify right side
    121,497x = 69,149,013,444
  5. Step 5: Solve for x
    x = 69,149,013,444/121,497
  6. Step 6: Final answer
    x = 569,141.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.