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Finding the Third Proportional to 10,051.50 and 15,930.38

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Solution

The third proportional to 10,051.50 and 15,930.38 is: 25,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.50 : 15,930.38 = 15,930.38 : x
  2. Step 2: Convert to fraction form
    10,051.50/15,930.38 = 15,930.38/x
  3. Step 3: Cross multiply
    10,051.50x = 15,930.38 × 15,930.38
  4. Step 4: Simplify right side
    10,051.50x = 253,776,847.64
  5. Step 5: Solve for x
    x = 253,776,847.64/10,051.50
  6. Step 6: Final answer
    x = 25,247.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.