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Finding the Third Proportional to 411,830 and 902,392

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Solution

The third proportional to 411,830 and 902,392 is: 1,977,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,830 : 902,392 = 902,392 : x
  2. Step 2: Convert to fraction form
    411,830/902,392 = 902,392/x
  3. Step 3: Cross multiply
    411,830x = 902,392 × 902,392
  4. Step 4: Simplify right side
    411,830x = 814,311,321,664
  5. Step 5: Solve for x
    x = 814,311,321,664/411,830
  6. Step 6: Final answer
    x = 1,977,299.67

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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.