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Finding the Third Proportional to 86,592 and 129,888

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Solution

The third proportional to 86,592 and 129,888 is: 194,832

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,592 : 129,888 = 129,888 : x
  2. Step 2: Convert to fraction form
    86,592/129,888 = 129,888/x
  3. Step 3: Cross multiply
    86,592x = 129,888 × 129,888
  4. Step 4: Simplify right side
    86,592x = 16,870,892,544
  5. Step 5: Solve for x
    x = 16,870,892,544/86,592
  6. Step 6: Final answer
    x = 194,832

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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.