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Finding the Third Proportional to 389.65 and 847.65

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Solution

The third proportional to 389.65 and 847.65 is: 1,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.65 : 847.65 = 847.65 : x
  2. Step 2: Convert to fraction form
    389.65/847.65 = 847.65/x
  3. Step 3: Cross multiply
    389.65x = 847.65 × 847.65
  4. Step 4: Simplify right side
    389.65x = 718,514.50
  5. Step 5: Solve for x
    x = 718,514.50/389.65
  6. Step 6: Final answer
    x = 1,843.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.