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Finding the Third Proportional to 75,642 and 161,220

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Solution

The third proportional to 75,642 and 161,220 is: 343,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642 : 161,220 = 161,220 : x
  2. Step 2: Convert to fraction form
    75,642/161,220 = 161,220/x
  3. Step 3: Cross multiply
    75,642x = 161,220 × 161,220
  4. Step 4: Simplify right side
    75,642x = 25,991,888,400
  5. Step 5: Solve for x
    x = 25,991,888,400/75,642
  6. Step 6: Final answer
    x = 343,617.15

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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.