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Finding the Third Proportional to 285,811 and 420,163

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Solution

The third proportional to 285,811 and 420,163 is: 617,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,811 : 420,163 = 420,163 : x
  2. Step 2: Convert to fraction form
    285,811/420,163 = 420,163/x
  3. Step 3: Cross multiply
    285,811x = 420,163 × 420,163
  4. Step 4: Simplify right side
    285,811x = 176,536,946,569
  5. Step 5: Solve for x
    x = 176,536,946,569/285,811
  6. Step 6: Final answer
    x = 617,670.23

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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.