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Finding the Third Proportional to 86,739.61 and 188,211.09

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Solution

The third proportional to 86,739.61 and 188,211.09 is: 408,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,739.61 : 188,211.09 = 188,211.09 : x
  2. Step 2: Convert to fraction form
    86,739.61/188,211.09 = 188,211.09/x
  3. Step 3: Cross multiply
    86,739.61x = 188,211.09 × 188,211.09
  4. Step 4: Simplify right side
    86,739.61x = 35,423,415,810.57
  5. Step 5: Solve for x
    x = 35,423,415,810.57/86,739.61
  6. Step 6: Final answer
    x = 408,388.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.