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Finding the Third Proportional to 75,712 and 161,136

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Solution

The third proportional to 75,712 and 161,136 is: 342,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712 : 161,136 = 161,136 : x
  2. Step 2: Convert to fraction form
    75,712/161,136 = 161,136/x
  3. Step 3: Cross multiply
    75,712x = 161,136 × 161,136
  4. Step 4: Simplify right side
    75,712x = 25,964,810,496
  5. Step 5: Solve for x
    x = 25,964,810,496/75,712
  6. Step 6: Final answer
    x = 342,941.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.