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Finding the Third Proportional to 51,978.50 and 74,329.75

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Solution

The third proportional to 51,978.50 and 74,329.75 is: 106,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.50 : 74,329.75 = 74,329.75 : x
  2. Step 2: Convert to fraction form
    51,978.50/74,329.75 = 74,329.75/x
  3. Step 3: Cross multiply
    51,978.50x = 74,329.75 × 74,329.75
  4. Step 4: Simplify right side
    51,978.50x = 5,524,911,735.06
  5. Step 5: Solve for x
    x = 5,524,911,735.06/51,978.50
  6. Step 6: Final answer
    x = 106,292.25

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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.