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Finding the Third Proportional to 65,655.56 and 85,409.44

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Solution

The third proportional to 65,655.56 and 85,409.44 is: 111,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,655.56 : 85,409.44 = 85,409.44 : x
  2. Step 2: Convert to fraction form
    65,655.56/85,409.44 = 85,409.44/x
  3. Step 3: Cross multiply
    65,655.56x = 85,409.44 × 85,409.44
  4. Step 4: Simplify right side
    65,655.56x = 7,294,772,014.07
  5. Step 5: Solve for x
    x = 7,294,772,014.07/65,655.56
  6. Step 6: Final answer
    x = 111,106.69

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.