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Finding the Third Proportional to 51,173 and 78,947

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Solution

The third proportional to 51,173 and 78,947 is: 121,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173 : 78,947 = 78,947 : x
  2. Step 2: Convert to fraction form
    51,173/78,947 = 78,947/x
  3. Step 3: Cross multiply
    51,173x = 78,947 × 78,947
  4. Step 4: Simplify right side
    51,173x = 6,232,628,809
  5. Step 5: Solve for x
    x = 6,232,628,809/51,173
  6. Step 6: Final answer
    x = 121,795.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.