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Finding the Third Proportional to 78,480.50 and 161,097

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Solution

The third proportional to 78,480.50 and 161,097 is: 330,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.50 : 161,097 = 161,097 : x
  2. Step 2: Convert to fraction form
    78,480.50/161,097 = 161,097/x
  3. Step 3: Cross multiply
    78,480.50x = 161,097 × 161,097
  4. Step 4: Simplify right side
    78,480.50x = 25,952,243,409
  5. Step 5: Solve for x
    x = 25,952,243,409/78,480.50
  6. Step 6: Final answer
    x = 330,683.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.