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Finding the Third Proportional to 9,953 and 19,905.50

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Solution

The third proportional to 9,953 and 19,905.50 is: 39,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953 : 19,905.50 = 19,905.50 : x
  2. Step 2: Convert to fraction form
    9,953/19,905.50 = 19,905.50/x
  3. Step 3: Cross multiply
    9,953x = 19,905.50 × 19,905.50
  4. Step 4: Simplify right side
    9,953x = 396,228,930.25
  5. Step 5: Solve for x
    x = 396,228,930.25/9,953
  6. Step 6: Final answer
    x = 39,810.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.