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Finding the Third Proportional to 188,479 and 409,700

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Solution

The third proportional to 188,479 and 409,700 is: 890,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,479 : 409,700 = 409,700 : x
  2. Step 2: Convert to fraction form
    188,479/409,700 = 409,700/x
  3. Step 3: Cross multiply
    188,479x = 409,700 × 409,700
  4. Step 4: Simplify right side
    188,479x = 167,854,090,000
  5. Step 5: Solve for x
    x = 167,854,090,000/188,479
  6. Step 6: Final answer
    x = 890,571.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.