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Finding the Third Proportional to 105,626.63 and 234,866.13

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Solution

The third proportional to 105,626.63 and 234,866.13 is: 522,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,626.63 : 234,866.13 = 234,866.13 : x
  2. Step 2: Convert to fraction form
    105,626.63/234,866.13 = 234,866.13/x
  3. Step 3: Cross multiply
    105,626.63x = 234,866.13 × 234,866.13
  4. Step 4: Simplify right side
    105,626.63x = 55,162,096,672.52
  5. Step 5: Solve for x
    x = 55,162,096,672.52/105,626.63
  6. Step 6: Final answer
    x = 522,236.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.