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Finding the Third Proportional to 121,258 and 263,500

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Solution

The third proportional to 121,258 and 263,500 is: 572,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,258 : 263,500 = 263,500 : x
  2. Step 2: Convert to fraction form
    121,258/263,500 = 263,500/x
  3. Step 3: Cross multiply
    121,258x = 263,500 × 263,500
  4. Step 4: Simplify right side
    121,258x = 69,432,250,000
  5. Step 5: Solve for x
    x = 69,432,250,000/121,258
  6. Step 6: Final answer
    x = 572,599.33

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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.