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Finding the Third Proportional to 45,043 and 70,115

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Solution

The third proportional to 45,043 and 70,115 is: 109,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,043 : 70,115 = 70,115 : x
  2. Step 2: Convert to fraction form
    45,043/70,115 = 70,115/x
  3. Step 3: Cross multiply
    45,043x = 70,115 × 70,115
  4. Step 4: Simplify right side
    45,043x = 4,916,113,225
  5. Step 5: Solve for x
    x = 4,916,113,225/45,043
  6. Step 6: Final answer
    x = 109,142.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.