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Finding the Third Proportional to 180,884 and 385,785

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Solution

The third proportional to 180,884 and 385,785 is: 822,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,884 : 385,785 = 385,785 : x
  2. Step 2: Convert to fraction form
    180,884/385,785 = 385,785/x
  3. Step 3: Cross multiply
    180,884x = 385,785 × 385,785
  4. Step 4: Simplify right side
    180,884x = 148,830,066,225
  5. Step 5: Solve for x
    x = 148,830,066,225/180,884
  6. Step 6: Final answer
    x = 822,792.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.