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Finding the Third Proportional to 65,409.75 and 138,683.25

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Solution

The third proportional to 65,409.75 and 138,683.25 is: 294,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.75 : 138,683.25 = 138,683.25 : x
  2. Step 2: Convert to fraction form
    65,409.75/138,683.25 = 138,683.25/x
  3. Step 3: Cross multiply
    65,409.75x = 138,683.25 × 138,683.25
  4. Step 4: Simplify right side
    65,409.75x = 19,233,043,830.56
  5. Step 5: Solve for x
    x = 19,233,043,830.56/65,409.75
  6. Step 6: Final answer
    x = 294,039.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.