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Finding the Third Proportional to 409,090.50 and 890,281.13

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Solution

The third proportional to 409,090.50 and 890,281.13 is: 1,937,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,090.50 : 890,281.13 = 890,281.13 : x
  2. Step 2: Convert to fraction form
    409,090.50/890,281.13 = 890,281.13/x
  3. Step 3: Cross multiply
    409,090.50x = 890,281.13 × 890,281.13
  4. Step 4: Simplify right side
    409,090.50x = 792,600,481,531.27
  5. Step 5: Solve for x
    x = 792,600,481,531.27/409,090.50
  6. Step 6: Final answer
    x = 1,937,469.78

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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.