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Finding the Third Proportional to 54,710 and 118,474

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Solution

The third proportional to 54,710 and 118,474 is: 256,554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,710 : 118,474 = 118,474 : x
  2. Step 2: Convert to fraction form
    54,710/118,474 = 118,474/x
  3. Step 3: Cross multiply
    54,710x = 118,474 × 118,474
  4. Step 4: Simplify right side
    54,710x = 14,036,088,676
  5. Step 5: Solve for x
    x = 14,036,088,676/54,710
  6. Step 6: Final answer
    x = 256,554.35

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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.