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Finding the Third Proportional to 69,390 and 105,378

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Solution

The third proportional to 69,390 and 105,378 is: 160,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,390 : 105,378 = 105,378 : x
  2. Step 2: Convert to fraction form
    69,390/105,378 = 105,378/x
  3. Step 3: Cross multiply
    69,390x = 105,378 × 105,378
  4. Step 4: Simplify right side
    69,390x = 11,104,522,884
  5. Step 5: Solve for x
    x = 11,104,522,884/69,390
  6. Step 6: Final answer
    x = 160,030.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.