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Finding the Third Proportional to 385,179 and 847,218

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Solution

The third proportional to 385,179 and 847,218 is: 1,863,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,179 : 847,218 = 847,218 : x
  2. Step 2: Convert to fraction form
    385,179/847,218 = 847,218/x
  3. Step 3: Cross multiply
    385,179x = 847,218 × 847,218
  4. Step 4: Simplify right side
    385,179x = 717,778,339,524
  5. Step 5: Solve for x
    x = 717,778,339,524/385,179
  6. Step 6: Final answer
    x = 1,863,492.92

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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.