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Finding the Third Proportional to 77,880 and 118,360

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Solution

The third proportional to 77,880 and 118,360 is: 179,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,880 : 118,360 = 118,360 : x
  2. Step 2: Convert to fraction form
    77,880/118,360 = 118,360/x
  3. Step 3: Cross multiply
    77,880x = 118,360 × 118,360
  4. Step 4: Simplify right side
    77,880x = 14,009,089,600
  5. Step 5: Solve for x
    x = 14,009,089,600/77,880
  6. Step 6: Final answer
    x = 179,880.45

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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.