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Finding the Third Proportional to 101,378 and 148,215

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Solution

The third proportional to 101,378 and 148,215 is: 216,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,378 : 148,215 = 148,215 : x
  2. Step 2: Convert to fraction form
    101,378/148,215 = 148,215/x
  3. Step 3: Cross multiply
    101,378x = 148,215 × 148,215
  4. Step 4: Simplify right side
    101,378x = 21,967,686,225
  5. Step 5: Solve for x
    x = 21,967,686,225/101,378
  6. Step 6: Final answer
    x = 216,690.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.