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Finding the Third Proportional to 39,454 and 55,495

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Solution

The third proportional to 39,454 and 55,495 is: 78,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,454 : 55,495 = 55,495 : x
  2. Step 2: Convert to fraction form
    39,454/55,495 = 55,495/x
  3. Step 3: Cross multiply
    39,454x = 55,495 × 55,495
  4. Step 4: Simplify right side
    39,454x = 3,079,695,025
  5. Step 5: Solve for x
    x = 3,079,695,025/39,454
  6. Step 6: Final answer
    x = 78,057.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.