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Finding the Third Proportional to 12,862.50 and 20,046

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Solution

The third proportional to 12,862.50 and 20,046 is: 31,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.50 : 20,046 = 20,046 : x
  2. Step 2: Convert to fraction form
    12,862.50/20,046 = 20,046/x
  3. Step 3: Cross multiply
    12,862.50x = 20,046 × 20,046
  4. Step 4: Simplify right side
    12,862.50x = 401,842,116
  5. Step 5: Solve for x
    x = 401,842,116/12,862.50
  6. Step 6: Final answer
    x = 31,241.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.