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Finding the Third Proportional to 180,855 and 385,689

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Solution

The third proportional to 180,855 and 385,689 is: 822,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,855 : 385,689 = 385,689 : x
  2. Step 2: Convert to fraction form
    180,855/385,689 = 385,689/x
  3. Step 3: Cross multiply
    180,855x = 385,689 × 385,689
  4. Step 4: Simplify right side
    180,855x = 148,756,004,721
  5. Step 5: Solve for x
    x = 148,756,004,721/180,855
  6. Step 6: Final answer
    x = 822,515.30

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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.