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Finding the Third Proportional to 9,769.50 and 23,038.88

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Solution

The third proportional to 9,769.50 and 23,038.88 is: 54,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.50 : 23,038.88 = 23,038.88 : x
  2. Step 2: Convert to fraction form
    9,769.50/23,038.88 = 23,038.88/x
  3. Step 3: Cross multiply
    9,769.50x = 23,038.88 × 23,038.88
  4. Step 4: Simplify right side
    9,769.50x = 530,789,761.27
  5. Step 5: Solve for x
    x = 530,789,761.27/9,769.50
  6. Step 6: Final answer
    x = 54,331.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.