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Finding the Third Proportional to 90,875 and 212,268

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Solution

The third proportional to 90,875 and 212,268 is: 495,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,875 : 212,268 = 212,268 : x
  2. Step 2: Convert to fraction form
    90,875/212,268 = 212,268/x
  3. Step 3: Cross multiply
    90,875x = 212,268 × 212,268
  4. Step 4: Simplify right side
    90,875x = 45,057,703,824
  5. Step 5: Solve for x
    x = 45,057,703,824/90,875
  6. Step 6: Final answer
    x = 495,820.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.