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Finding the Third Proportional to 86,428 and 178,856

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Solution

The third proportional to 86,428 and 178,856 is: 370,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,428 : 178,856 = 178,856 : x
  2. Step 2: Convert to fraction form
    86,428/178,856 = 178,856/x
  3. Step 3: Cross multiply
    86,428x = 178,856 × 178,856
  4. Step 4: Simplify right side
    86,428x = 31,989,468,736
  5. Step 5: Solve for x
    x = 31,989,468,736/86,428
  6. Step 6: Final answer
    x = 370,128.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.