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Finding the Third Proportional to 13,810.50 and 25,768.13

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Solution

The third proportional to 13,810.50 and 25,768.13 is: 48,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.50 : 25,768.13 = 25,768.13 : x
  2. Step 2: Convert to fraction form
    13,810.50/25,768.13 = 25,768.13/x
  3. Step 3: Cross multiply
    13,810.50x = 25,768.13 × 25,768.13
  4. Step 4: Simplify right side
    13,810.50x = 663,996,266.02
  5. Step 5: Solve for x
    x = 663,996,266.02/13,810.50
  6. Step 6: Final answer
    x = 48,079.09

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.