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Finding the Third Proportional to 77,707.50 and 118,080

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Solution

The third proportional to 77,707.50 and 118,080 is: 179,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,707.50 : 118,080 = 118,080 : x
  2. Step 2: Convert to fraction form
    77,707.50/118,080 = 118,080/x
  3. Step 3: Cross multiply
    77,707.50x = 118,080 × 118,080
  4. Step 4: Simplify right side
    77,707.50x = 13,942,886,400
  5. Step 5: Solve for x
    x = 13,942,886,400/77,707.50
  6. Step 6: Final answer
    x = 179,427.81

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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.