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Finding the Third Proportional to 118,764 and 178,303

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Solution

The third proportional to 118,764 and 178,303 is: 267,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,764 : 178,303 = 178,303 : x
  2. Step 2: Convert to fraction form
    118,764/178,303 = 178,303/x
  3. Step 3: Cross multiply
    118,764x = 178,303 × 178,303
  4. Step 4: Simplify right side
    118,764x = 31,791,959,809
  5. Step 5: Solve for x
    x = 31,791,959,809/118,764
  6. Step 6: Final answer
    x = 267,690.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.