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Finding the Third Proportional to 54,690 and 78,206

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Solution

The third proportional to 54,690 and 78,206 is: 111,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,690 : 78,206 = 78,206 : x
  2. Step 2: Convert to fraction form
    54,690/78,206 = 78,206/x
  3. Step 3: Cross multiply
    54,690x = 78,206 × 78,206
  4. Step 4: Simplify right side
    54,690x = 6,116,178,436
  5. Step 5: Solve for x
    x = 6,116,178,436/54,690
  6. Step 6: Final answer
    x = 111,833.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.