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Finding the Third Proportional to 7,112.81 and 15,539.34

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Solution

The third proportional to 7,112.81 and 15,539.34 is: 33,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.81 : 15,539.34 = 15,539.34 : x
  2. Step 2: Convert to fraction form
    7,112.81/15,539.34 = 15,539.34/x
  3. Step 3: Cross multiply
    7,112.81x = 15,539.34 × 15,539.34
  4. Step 4: Simplify right side
    7,112.81x = 241,471,204.18
  5. Step 5: Solve for x
    x = 241,471,204.18/7,112.81
  6. Step 6: Final answer
    x = 33,948.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.