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Finding the Third Proportional to 78,136 and 161,809

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Solution

The third proportional to 78,136 and 161,809 is: 335,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,136 : 161,809 = 161,809 : x
  2. Step 2: Convert to fraction form
    78,136/161,809 = 161,809/x
  3. Step 3: Cross multiply
    78,136x = 161,809 × 161,809
  4. Step 4: Simplify right side
    78,136x = 26,182,152,481
  5. Step 5: Solve for x
    x = 26,182,152,481/78,136
  6. Step 6: Final answer
    x = 335,084.37

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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.