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Finding the Third Proportional to 146,938 and 318,308

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Solution

The third proportional to 146,938 and 318,308 is: 689,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,938 : 318,308 = 318,308 : x
  2. Step 2: Convert to fraction form
    146,938/318,308 = 318,308/x
  3. Step 3: Cross multiply
    146,938x = 318,308 × 318,308
  4. Step 4: Simplify right side
    146,938x = 101,319,982,864
  5. Step 5: Solve for x
    x = 101,319,982,864/146,938
  6. Step 6: Final answer
    x = 689,542.41

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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.