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Finding the Third Proportional to 385,990 and 850,511

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Solution

The third proportional to 385,990 and 850,511 is: 1,874,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,990 : 850,511 = 850,511 : x
  2. Step 2: Convert to fraction form
    385,990/850,511 = 850,511/x
  3. Step 3: Cross multiply
    385,990x = 850,511 × 850,511
  4. Step 4: Simplify right side
    385,990x = 723,368,961,121
  5. Step 5: Solve for x
    x = 723,368,961,121/385,990
  6. Step 6: Final answer
    x = 1,874,061.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.