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Finding the Third Proportional to 118,840.50 and 258,255

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Solution

The third proportional to 118,840.50 and 258,255 is: 561,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,840.50 : 258,255 = 258,255 : x
  2. Step 2: Convert to fraction form
    118,840.50/258,255 = 258,255/x
  3. Step 3: Cross multiply
    118,840.50x = 258,255 × 258,255
  4. Step 4: Simplify right side
    118,840.50x = 66,695,645,025
  5. Step 5: Solve for x
    x = 66,695,645,025/118,840.50
  6. Step 6: Final answer
    x = 561,219.83

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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.