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Finding the Third Proportional to 411,823 and 902,378

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Solution

The third proportional to 411,823 and 902,378 is: 1,977,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,823 : 902,378 = 902,378 : x
  2. Step 2: Convert to fraction form
    411,823/902,378 = 902,378/x
  3. Step 3: Cross multiply
    411,823x = 902,378 × 902,378
  4. Step 4: Simplify right side
    411,823x = 814,286,054,884
  5. Step 5: Solve for x
    x = 814,286,054,884/411,823
  6. Step 6: Final answer
    x = 1,977,271.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.