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Finding the Third Proportional to 86,999 and 130,458

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Solution

The third proportional to 86,999 and 130,458 is: 195,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,999 : 130,458 = 130,458 : x
  2. Step 2: Convert to fraction form
    86,999/130,458 = 130,458/x
  3. Step 3: Cross multiply
    86,999x = 130,458 × 130,458
  4. Step 4: Simplify right side
    86,999x = 17,019,289,764
  5. Step 5: Solve for x
    x = 17,019,289,764/86,999
  6. Step 6: Final answer
    x = 195,626.27

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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.