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Finding the Third Proportional to 286,482 and 624,316

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Solution

The third proportional to 286,482 and 624,316 is: 1,360,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,482 : 624,316 = 624,316 : x
  2. Step 2: Convert to fraction form
    286,482/624,316 = 624,316/x
  3. Step 3: Cross multiply
    286,482x = 624,316 × 624,316
  4. Step 4: Simplify right side
    286,482x = 389,770,467,856
  5. Step 5: Solve for x
    x = 389,770,467,856/286,482
  6. Step 6: Final answer
    x = 1,360,540.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.