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Finding the Third Proportional to 36,840 and 78,888

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Solution

The third proportional to 36,840 and 78,888 is: 168,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,840 : 78,888 = 78,888 : x
  2. Step 2: Convert to fraction form
    36,840/78,888 = 78,888/x
  3. Step 3: Cross multiply
    36,840x = 78,888 × 78,888
  4. Step 4: Simplify right side
    36,840x = 6,223,316,544
  5. Step 5: Solve for x
    x = 6,223,316,544/36,840
  6. Step 6: Final answer
    x = 168,928.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.