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Finding the Third Proportional to 199,559 and 301,412

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Solution

The third proportional to 199,559 and 301,412 is: 455,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,559 : 301,412 = 301,412 : x
  2. Step 2: Convert to fraction form
    199,559/301,412 = 301,412/x
  3. Step 3: Cross multiply
    199,559x = 301,412 × 301,412
  4. Step 4: Simplify right side
    199,559x = 90,849,193,744
  5. Step 5: Solve for x
    x = 90,849,193,744/199,559
  6. Step 6: Final answer
    x = 455,249.79

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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.