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Finding the Third Proportional to 86,792 and 178,776

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Solution

The third proportional to 86,792 and 178,776 is: 368,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,792 : 178,776 = 178,776 : x
  2. Step 2: Convert to fraction form
    86,792/178,776 = 178,776/x
  3. Step 3: Cross multiply
    86,792x = 178,776 × 178,776
  4. Step 4: Simplify right side
    86,792x = 31,960,858,176
  5. Step 5: Solve for x
    x = 31,960,858,176/86,792
  6. Step 6: Final answer
    x = 368,246.59

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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.