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Finding the Third Proportional to 77,609.81 and 170,459.44

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Solution

The third proportional to 77,609.81 and 170,459.44 is: 374,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,609.81 : 170,459.44 = 170,459.44 : x
  2. Step 2: Convert to fraction form
    77,609.81/170,459.44 = 170,459.44/x
  3. Step 3: Cross multiply
    77,609.81x = 170,459.44 × 170,459.44
  4. Step 4: Simplify right side
    77,609.81x = 29,056,419,832.82
  5. Step 5: Solve for x
    x = 29,056,419,832.82/77,609.81
  6. Step 6: Final answer
    x = 374,391.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.