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Finding the Third Proportional to 199,619 and 301,507

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Solution

The third proportional to 199,619 and 301,507 is: 455,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,619 : 301,507 = 301,507 : x
  2. Step 2: Convert to fraction form
    199,619/301,507 = 301,507/x
  3. Step 3: Cross multiply
    199,619x = 301,507 × 301,507
  4. Step 4: Simplify right side
    199,619x = 90,906,471,049
  5. Step 5: Solve for x
    x = 90,906,471,049/199,619
  6. Step 6: Final answer
    x = 455,399.89

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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.