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Finding the Third Proportional to 57,030 and 133,260

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Solution

The third proportional to 57,030 and 133,260 is: 311,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,030 : 133,260 = 133,260 : x
  2. Step 2: Convert to fraction form
    57,030/133,260 = 133,260/x
  3. Step 3: Cross multiply
    57,030x = 133,260 × 133,260
  4. Step 4: Simplify right side
    57,030x = 17,758,227,600
  5. Step 5: Solve for x
    x = 17,758,227,600/57,030
  6. Step 6: Final answer
    x = 311,383.97

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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.