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Finding the Third Proportional to 118,825.10 and 264,218.84

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Solution

The third proportional to 118,825.10 and 264,218.84 is: 587,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,825.10 : 264,218.84 = 264,218.84 : x
  2. Step 2: Convert to fraction form
    118,825.10/264,218.84 = 264,218.84/x
  3. Step 3: Cross multiply
    118,825.10x = 264,218.84 × 264,218.84
  4. Step 4: Simplify right side
    118,825.10x = 69,811,593,264.17
  5. Step 5: Solve for x
    x = 69,811,593,264.17/118,825.10
  6. Step 6: Final answer
    x = 587,515.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.