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Finding the Third Proportional to 86,159 and 186,155

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Solution

The third proportional to 86,159 and 186,155 is: 402,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,159 : 186,155 = 186,155 : x
  2. Step 2: Convert to fraction form
    86,159/186,155 = 186,155/x
  3. Step 3: Cross multiply
    86,159x = 186,155 × 186,155
  4. Step 4: Simplify right side
    86,159x = 34,653,684,025
  5. Step 5: Solve for x
    x = 34,653,684,025/86,159
  6. Step 6: Final answer
    x = 402,206.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.