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Finding the Third Proportional to 10,787 and 23,651.50

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Solution

The third proportional to 10,787 and 23,651.50 is: 51,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787 : 23,651.50 = 23,651.50 : x
  2. Step 2: Convert to fraction form
    10,787/23,651.50 = 23,651.50/x
  3. Step 3: Cross multiply
    10,787x = 23,651.50 × 23,651.50
  4. Step 4: Simplify right side
    10,787x = 559,393,452.25
  5. Step 5: Solve for x
    x = 559,393,452.25/10,787
  6. Step 6: Final answer
    x = 51,858.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.