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Finding the Third Proportional to 86,583.94 and 138,315.09

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Solution

The third proportional to 86,583.94 and 138,315.09 is: 220,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,583.94 : 138,315.09 = 138,315.09 : x
  2. Step 2: Convert to fraction form
    86,583.94/138,315.09 = 138,315.09/x
  3. Step 3: Cross multiply
    86,583.94x = 138,315.09 × 138,315.09
  4. Step 4: Simplify right side
    86,583.94x = 19,131,065,159.07
  5. Step 5: Solve for x
    x = 19,131,065,159.07/86,583.94
  6. Step 6: Final answer
    x = 220,953.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.