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Finding the Third Proportional to 286,223 and 420,583

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Solution

The third proportional to 286,223 and 420,583 is: 618,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,223 : 420,583 = 420,583 : x
  2. Step 2: Convert to fraction form
    286,223/420,583 = 420,583/x
  3. Step 3: Cross multiply
    286,223x = 420,583 × 420,583
  4. Step 4: Simplify right side
    286,223x = 176,890,059,889
  5. Step 5: Solve for x
    x = 176,890,059,889/286,223
  6. Step 6: Final answer
    x = 618,014.83

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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.