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Finding the Third Proportional to 53,760.75 and 85,407.75

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Solution

The third proportional to 53,760.75 and 85,407.75 is: 135,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,760.75 : 85,407.75 = 85,407.75 : x
  2. Step 2: Convert to fraction form
    53,760.75/85,407.75 = 85,407.75/x
  3. Step 3: Cross multiply
    53,760.75x = 85,407.75 × 85,407.75
  4. Step 4: Simplify right side
    53,760.75x = 7,294,483,760.06
  5. Step 5: Solve for x
    x = 7,294,483,760.06/53,760.75
  6. Step 6: Final answer
    x = 135,684.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.