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Finding the Third Proportional to 71,920.27 and 107,880.47

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Solution

The third proportional to 71,920.27 and 107,880.47 is: 161,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920.27 : 107,880.47 = 107,880.47 : x
  2. Step 2: Convert to fraction form
    71,920.27/107,880.47 = 107,880.47/x
  3. Step 3: Cross multiply
    71,920.27x = 107,880.47 × 107,880.47
  4. Step 4: Simplify right side
    71,920.27x = 11,638,195,537.72
  5. Step 5: Solve for x
    x = 11,638,195,537.72/71,920.27
  6. Step 6: Final answer
    x = 161,820.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.