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Finding the Third Proportional to 121,357.50 and 264,021

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Solution

The third proportional to 121,357.50 and 264,021 is: 574,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,357.50 : 264,021 = 264,021 : x
  2. Step 2: Convert to fraction form
    121,357.50/264,021 = 264,021/x
  3. Step 3: Cross multiply
    121,357.50x = 264,021 × 264,021
  4. Step 4: Simplify right side
    121,357.50x = 69,707,088,441
  5. Step 5: Solve for x
    x = 69,707,088,441/121,357.50
  6. Step 6: Final answer
    x = 574,394.57

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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.