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Finding the Third Proportional to 147,030 and 318,954

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Solution

The third proportional to 147,030 and 318,954 is: 691,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,030 : 318,954 = 318,954 : x
  2. Step 2: Convert to fraction form
    147,030/318,954 = 318,954/x
  3. Step 3: Cross multiply
    147,030x = 318,954 × 318,954
  4. Step 4: Simplify right side
    147,030x = 101,731,654,116
  5. Step 5: Solve for x
    x = 101,731,654,116/147,030
  6. Step 6: Final answer
    x = 691,910.86

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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.