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Finding the Third Proportional to 86,405.06 and 178,804.69

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Solution

The third proportional to 86,405.06 and 178,804.69 is: 370,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,405.06 : 178,804.69 = 178,804.69 : x
  2. Step 2: Convert to fraction form
    86,405.06/178,804.69 = 178,804.69/x
  3. Step 3: Cross multiply
    86,405.06x = 178,804.69 × 178,804.69
  4. Step 4: Simplify right side
    86,405.06x = 31,971,116,271.97
  5. Step 5: Solve for x
    x = 31,971,116,271.97/86,405.06
  6. Step 6: Final answer
    x = 370,014.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.