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Finding the Third Proportional to 77,085 and 115,629.75

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Solution

The third proportional to 77,085 and 115,629.75 is: 173,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,085 : 115,629.75 = 115,629.75 : x
  2. Step 2: Convert to fraction form
    77,085/115,629.75 = 115,629.75/x
  3. Step 3: Cross multiply
    77,085x = 115,629.75 × 115,629.75
  4. Step 4: Simplify right side
    77,085x = 13,370,239,085.06
  5. Step 5: Solve for x
    x = 13,370,239,085.06/77,085
  6. Step 6: Final answer
    x = 173,448.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.