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Finding the Third Proportional to 211,680 and 300,888

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Solution

The third proportional to 211,680 and 300,888 is: 427,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,680 : 300,888 = 300,888 : x
  2. Step 2: Convert to fraction form
    211,680/300,888 = 300,888/x
  3. Step 3: Cross multiply
    211,680x = 300,888 × 300,888
  4. Step 4: Simplify right side
    211,680x = 90,533,588,544
  5. Step 5: Solve for x
    x = 90,533,588,544/211,680
  6. Step 6: Final answer
    x = 427,690.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.