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Finding the Third Proportional to 411,932.50 and 890,489

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Solution

The third proportional to 411,932.50 and 890,489 is: 1,925,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,932.50 : 890,489 = 890,489 : x
  2. Step 2: Convert to fraction form
    411,932.50/890,489 = 890,489/x
  3. Step 3: Cross multiply
    411,932.50x = 890,489 × 890,489
  4. Step 4: Simplify right side
    411,932.50x = 792,970,659,121
  5. Step 5: Solve for x
    x = 792,970,659,121/411,932.50
  6. Step 6: Final answer
    x = 1,925,001.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.