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Finding the Third Proportional to 78,546 and 161,700

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Solution

The third proportional to 78,546 and 161,700 is: 332,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,546 : 161,700 = 161,700 : x
  2. Step 2: Convert to fraction form
    78,546/161,700 = 161,700/x
  3. Step 3: Cross multiply
    78,546x = 161,700 × 161,700
  4. Step 4: Simplify right side
    78,546x = 26,146,890,000
  5. Step 5: Solve for x
    x = 26,146,890,000/78,546
  6. Step 6: Final answer
    x = 332,886.33

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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.