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Finding the Third Proportional to 38,619 and 51,724.50

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Solution

The third proportional to 38,619 and 51,724.50 is: 69,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,619 : 51,724.50 = 51,724.50 : x
  2. Step 2: Convert to fraction form
    38,619/51,724.50 = 51,724.50/x
  3. Step 3: Cross multiply
    38,619x = 51,724.50 × 51,724.50
  4. Step 4: Simplify right side
    38,619x = 2,675,423,900.25
  5. Step 5: Solve for x
    x = 2,675,423,900.25/38,619
  6. Step 6: Final answer
    x = 69,277.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.