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Finding the Third Proportional to 8,992.50 and 19,769.50

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Solution

The third proportional to 8,992.50 and 19,769.50 is: 43,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.50 : 19,769.50 = 19,769.50 : x
  2. Step 2: Convert to fraction form
    8,992.50/19,769.50 = 19,769.50/x
  3. Step 3: Cross multiply
    8,992.50x = 19,769.50 × 19,769.50
  4. Step 4: Simplify right side
    8,992.50x = 390,833,130.25
  5. Step 5: Solve for x
    x = 390,833,130.25/8,992.50
  6. Step 6: Final answer
    x = 43,462.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.