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Finding the Third Proportional to 421,665.75 and 674,416.13

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Solution

The third proportional to 421,665.75 and 674,416.13 is: 1,078,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,665.75 : 674,416.13 = 674,416.13 : x
  2. Step 2: Convert to fraction form
    421,665.75/674,416.13 = 674,416.13/x
  3. Step 3: Cross multiply
    421,665.75x = 674,416.13 × 674,416.13
  4. Step 4: Simplify right side
    421,665.75x = 454,837,109,660.02
  5. Step 5: Solve for x
    x = 454,837,109,660.02/421,665.75
  6. Step 6: Final answer
    x = 1,078,667.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.