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Finding the Third Proportional to 299,896 and 451,820

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Solution

The third proportional to 299,896 and 451,820 is: 680,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,896 : 451,820 = 451,820 : x
  2. Step 2: Convert to fraction form
    299,896/451,820 = 451,820/x
  3. Step 3: Cross multiply
    299,896x = 451,820 × 451,820
  4. Step 4: Simplify right side
    299,896x = 204,141,312,400
  5. Step 5: Solve for x
    x = 204,141,312,400/299,896
  6. Step 6: Final answer
    x = 680,707.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.