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Finding the Third Proportional to 286,227 and 615,921

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Solution

The third proportional to 286,227 and 615,921 is: 1,325,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,227 : 615,921 = 615,921 : x
  2. Step 2: Convert to fraction form
    286,227/615,921 = 615,921/x
  3. Step 3: Cross multiply
    286,227x = 615,921 × 615,921
  4. Step 4: Simplify right side
    286,227x = 379,358,678,241
  5. Step 5: Solve for x
    x = 379,358,678,241/286,227
  6. Step 6: Final answer
    x = 1,325,376.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.