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Finding the Third Proportional to 121,112 and 264,020

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Solution

The third proportional to 121,112 and 264,020 is: 575,554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,112 : 264,020 = 264,020 : x
  2. Step 2: Convert to fraction form
    121,112/264,020 = 264,020/x
  3. Step 3: Cross multiply
    121,112x = 264,020 × 264,020
  4. Step 4: Simplify right side
    121,112x = 69,706,560,400
  5. Step 5: Solve for x
    x = 69,706,560,400/121,112
  6. Step 6: Final answer
    x = 575,554.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.