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Finding the Third Proportional to 180,310 and 385,635

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Solution

The third proportional to 180,310 and 385,635 is: 824,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,310 : 385,635 = 385,635 : x
  2. Step 2: Convert to fraction form
    180,310/385,635 = 385,635/x
  3. Step 3: Cross multiply
    180,310x = 385,635 × 385,635
  4. Step 4: Simplify right side
    180,310x = 148,714,353,225
  5. Step 5: Solve for x
    x = 148,714,353,225/180,310
  6. Step 6: Final answer
    x = 824,770.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.