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Finding the Third Proportional to 11,046 and 16,666.50

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Solution

The third proportional to 11,046 and 16,666.50 is: 25,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046 : 16,666.50 = 16,666.50 : x
  2. Step 2: Convert to fraction form
    11,046/16,666.50 = 16,666.50/x
  3. Step 3: Cross multiply
    11,046x = 16,666.50 × 16,666.50
  4. Step 4: Simplify right side
    11,046x = 277,772,222.25
  5. Step 5: Solve for x
    x = 277,772,222.25/11,046
  6. Step 6: Final answer
    x = 25,146.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.