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Finding the Third Proportional to 196,955 and 286,821

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Solution

The third proportional to 196,955 and 286,821 is: 417,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,955 : 286,821 = 286,821 : x
  2. Step 2: Convert to fraction form
    196,955/286,821 = 286,821/x
  3. Step 3: Cross multiply
    196,955x = 286,821 × 286,821
  4. Step 4: Simplify right side
    196,955x = 82,266,286,041
  5. Step 5: Solve for x
    x = 82,266,286,041/196,955
  6. Step 6: Final answer
    x = 417,690.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.