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Finding the Third Proportional to 121,367 and 264,038

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Solution

The third proportional to 121,367 and 264,038 is: 574,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,367 : 264,038 = 264,038 : x
  2. Step 2: Convert to fraction form
    121,367/264,038 = 264,038/x
  3. Step 3: Cross multiply
    121,367x = 264,038 × 264,038
  4. Step 4: Simplify right side
    121,367x = 69,716,065,444
  5. Step 5: Solve for x
    x = 69,716,065,444/121,367
  6. Step 6: Final answer
    x = 574,423.57

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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.