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Finding the Third Proportional to 147,019 and 318,933

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Solution

The third proportional to 147,019 and 318,933 is: 691,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,019 : 318,933 = 318,933 : x
  2. Step 2: Convert to fraction form
    147,019/318,933 = 318,933/x
  3. Step 3: Cross multiply
    147,019x = 318,933 × 318,933
  4. Step 4: Simplify right side
    147,019x = 101,718,258,489
  5. Step 5: Solve for x
    x = 101,718,258,489/147,019
  6. Step 6: Final answer
    x = 691,871.52

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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.