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Finding the Third Proportional to 121,288 and 263,778

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Solution

The third proportional to 121,288 and 263,778 is: 573,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,288 : 263,778 = 263,778 : x
  2. Step 2: Convert to fraction form
    121,288/263,778 = 263,778/x
  3. Step 3: Cross multiply
    121,288x = 263,778 × 263,778
  4. Step 4: Simplify right side
    121,288x = 69,578,833,284
  5. Step 5: Solve for x
    x = 69,578,833,284/121,288
  6. Step 6: Final answer
    x = 573,666.26

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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.