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Finding the Third Proportional to 288,006 and 382,171

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Solution

The third proportional to 288,006 and 382,171 is: 507,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,006 : 382,171 = 382,171 : x
  2. Step 2: Convert to fraction form
    288,006/382,171 = 382,171/x
  3. Step 3: Cross multiply
    288,006x = 382,171 × 382,171
  4. Step 4: Simplify right side
    288,006x = 146,054,673,241
  5. Step 5: Solve for x
    x = 146,054,673,241/288,006
  6. Step 6: Final answer
    x = 507,123.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.