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Finding the Third Proportional to 8,418 and 10,732.50

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Solution

The third proportional to 8,418 and 10,732.50 is: 13,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418 : 10,732.50 = 10,732.50 : x
  2. Step 2: Convert to fraction form
    8,418/10,732.50 = 10,732.50/x
  3. Step 3: Cross multiply
    8,418x = 10,732.50 × 10,732.50
  4. Step 4: Simplify right side
    8,418x = 115,186,556.25
  5. Step 5: Solve for x
    x = 115,186,556.25/8,418
  6. Step 6: Final answer
    x = 13,683.36

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.