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Finding the Third Proportional to 90,873 and 212,263

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Solution

The third proportional to 90,873 and 212,263 is: 495,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,873 : 212,263 = 212,263 : x
  2. Step 2: Convert to fraction form
    90,873/212,263 = 212,263/x
  3. Step 3: Cross multiply
    90,873x = 212,263 × 212,263
  4. Step 4: Simplify right side
    90,873x = 45,055,581,169
  5. Step 5: Solve for x
    x = 45,055,581,169/90,873
  6. Step 6: Final answer
    x = 495,808.23

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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.