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Finding the Third Proportional to 4,810.50 and 10,141.88

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Solution

The third proportional to 4,810.50 and 10,141.88 is: 21,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.50 : 10,141.88 = 10,141.88 : x
  2. Step 2: Convert to fraction form
    4,810.50/10,141.88 = 10,141.88/x
  3. Step 3: Cross multiply
    4,810.50x = 10,141.88 × 10,141.88
  4. Step 4: Simplify right side
    4,810.50x = 102,857,628.52
  5. Step 5: Solve for x
    x = 102,857,628.52/4,810.50
  6. Step 6: Final answer
    x = 21,381.90

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.