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Finding the Third Proportional to 286,022 and 420,771

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Solution

The third proportional to 286,022 and 420,771 is: 619,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,022 : 420,771 = 420,771 : x
  2. Step 2: Convert to fraction form
    286,022/420,771 = 420,771/x
  3. Step 3: Cross multiply
    286,022x = 420,771 × 420,771
  4. Step 4: Simplify right side
    286,022x = 177,048,234,441
  5. Step 5: Solve for x
    x = 177,048,234,441/286,022
  6. Step 6: Final answer
    x = 619,002.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.