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Finding the Third Proportional to 57,215 and 118,406

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Solution

The third proportional to 57,215 and 118,406 is: 245,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,215 : 118,406 = 118,406 : x
  2. Step 2: Convert to fraction form
    57,215/118,406 = 118,406/x
  3. Step 3: Cross multiply
    57,215x = 118,406 × 118,406
  4. Step 4: Simplify right side
    57,215x = 14,019,980,836
  5. Step 5: Solve for x
    x = 14,019,980,836/57,215
  6. Step 6: Final answer
    x = 245,040.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.