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Finding the Third Proportional to 86,270 and 177,724

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Solution

The third proportional to 86,270 and 177,724 is: 366,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,270 : 177,724 = 177,724 : x
  2. Step 2: Convert to fraction form
    86,270/177,724 = 177,724/x
  3. Step 3: Cross multiply
    86,270x = 177,724 × 177,724
  4. Step 4: Simplify right side
    86,270x = 31,585,820,176
  5. Step 5: Solve for x
    x = 31,585,820,176/86,270
  6. Step 6: Final answer
    x = 366,127.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.