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Finding the Third Proportional to 129,089 and 279,623

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Solution

The third proportional to 129,089 and 279,623 is: 605,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,089 : 279,623 = 279,623 : x
  2. Step 2: Convert to fraction form
    129,089/279,623 = 279,623/x
  3. Step 3: Cross multiply
    129,089x = 279,623 × 279,623
  4. Step 4: Simplify right side
    129,089x = 78,189,022,129
  5. Step 5: Solve for x
    x = 78,189,022,129/129,089
  6. Step 6: Final answer
    x = 605,698.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.