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Finding the Third Proportional to 39,816 and 55,808

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Solution

The third proportional to 39,816 and 55,808 is: 78,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,816 : 55,808 = 55,808 : x
  2. Step 2: Convert to fraction form
    39,816/55,808 = 55,808/x
  3. Step 3: Cross multiply
    39,816x = 55,808 × 55,808
  4. Step 4: Simplify right side
    39,816x = 3,114,532,864
  5. Step 5: Solve for x
    x = 3,114,532,864/39,816
  6. Step 6: Final answer
    x = 78,223.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.