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Finding the Third Proportional to 10,796 and 23,592.50

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Solution

The third proportional to 10,796 and 23,592.50 is: 51,556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796 : 23,592.50 = 23,592.50 : x
  2. Step 2: Convert to fraction form
    10,796/23,592.50 = 23,592.50/x
  3. Step 3: Cross multiply
    10,796x = 23,592.50 × 23,592.50
  4. Step 4: Simplify right side
    10,796x = 556,606,056.25
  5. Step 5: Solve for x
    x = 556,606,056.25/10,796
  6. Step 6: Final answer
    x = 51,556.69

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