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Finding the Third Proportional to 237,992 and 317,288

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Solution

The third proportional to 237,992 and 317,288 is: 423,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,992 : 317,288 = 317,288 : x
  2. Step 2: Convert to fraction form
    237,992/317,288 = 317,288/x
  3. Step 3: Cross multiply
    237,992x = 317,288 × 317,288
  4. Step 4: Simplify right side
    237,992x = 100,671,674,944
  5. Step 5: Solve for x
    x = 100,671,674,944/237,992
  6. Step 6: Final answer
    x = 423,004.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.