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Finding the Third Proportional to 121,301 and 263,219

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Solution

The third proportional to 121,301 and 263,219 is: 571,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,301 : 263,219 = 263,219 : x
  2. Step 2: Convert to fraction form
    121,301/263,219 = 263,219/x
  3. Step 3: Cross multiply
    121,301x = 263,219 × 263,219
  4. Step 4: Simplify right side
    121,301x = 69,284,241,961
  5. Step 5: Solve for x
    x = 69,284,241,961/121,301
  6. Step 6: Final answer
    x = 571,176.18

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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.