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Finding the Third Proportional to 51,861.38 and 78,269.13

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Solution

The third proportional to 51,861.38 and 78,269.13 is: 118,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,861.38 : 78,269.13 = 78,269.13 : x
  2. Step 2: Convert to fraction form
    51,861.38/78,269.13 = 78,269.13/x
  3. Step 3: Cross multiply
    51,861.38x = 78,269.13 × 78,269.13
  4. Step 4: Simplify right side
    51,861.38x = 6,126,055,928.27
  5. Step 5: Solve for x
    x = 6,126,055,928.27/51,861.38
  6. Step 6: Final answer
    x = 118,123.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.