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Finding the Third Proportional to 77,401.88 and 108,998.81

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Solution

The third proportional to 77,401.88 and 108,998.81 is: 153,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,401.88 : 108,998.81 = 108,998.81 : x
  2. Step 2: Convert to fraction form
    77,401.88/108,998.81 = 108,998.81/x
  3. Step 3: Cross multiply
    77,401.88x = 108,998.81 × 108,998.81
  4. Step 4: Simplify right side
    77,401.88x = 11,880,741,126.41
  5. Step 5: Solve for x
    x = 11,880,741,126.41/77,401.88
  6. Step 6: Final answer
    x = 153,494.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.