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Finding the Third Proportional to 86,579 and 130,119

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Solution

The third proportional to 86,579 and 130,119 is: 195,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,579 : 130,119 = 130,119 : x
  2. Step 2: Convert to fraction form
    86,579/130,119 = 130,119/x
  3. Step 3: Cross multiply
    86,579x = 130,119 × 130,119
  4. Step 4: Simplify right side
    86,579x = 16,930,954,161
  5. Step 5: Solve for x
    x = 16,930,954,161/86,579
  6. Step 6: Final answer
    x = 195,554.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.