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Finding the Third Proportional to 11,428.13 and 18,248.63

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Solution

The third proportional to 11,428.13 and 18,248.63 is: 29,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.13 : 18,248.63 = 18,248.63 : x
  2. Step 2: Convert to fraction form
    11,428.13/18,248.63 = 18,248.63/x
  3. Step 3: Cross multiply
    11,428.13x = 18,248.63 × 18,248.63
  4. Step 4: Simplify right side
    11,428.13x = 333,012,314.39
  5. Step 5: Solve for x
    x = 333,012,314.39/11,428.13
  6. Step 6: Final answer
    x = 29,139.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.