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Finding the Third Proportional to 86,028 and 134,145

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Solution

The third proportional to 86,028 and 134,145 is: 209,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,028 : 134,145 = 134,145 : x
  2. Step 2: Convert to fraction form
    86,028/134,145 = 134,145/x
  3. Step 3: Cross multiply
    86,028x = 134,145 × 134,145
  4. Step 4: Simplify right side
    86,028x = 17,994,881,025
  5. Step 5: Solve for x
    x = 17,994,881,025/86,028
  6. Step 6: Final answer
    x = 209,174.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.