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Finding the Third Proportional to 84,604.50 and 110,109.38

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Solution

The third proportional to 84,604.50 and 110,109.38 is: 143,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,604.50 : 110,109.38 = 110,109.38 : x
  2. Step 2: Convert to fraction form
    84,604.50/110,109.38 = 110,109.38/x
  3. Step 3: Cross multiply
    84,604.50x = 110,109.38 × 110,109.38
  4. Step 4: Simplify right side
    84,604.50x = 12,124,074,462.89
  5. Step 5: Solve for x
    x = 12,124,074,462.89/84,604.50
  6. Step 6: Final answer
    x = 143,302.95

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.