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Finding the Third Proportional to 11,554.13 and 17,840.63

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Solution

The third proportional to 11,554.13 and 17,840.63 is: 27,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.13 : 17,840.63 = 17,840.63 : x
  2. Step 2: Convert to fraction form
    11,554.13/17,840.63 = 17,840.63/x
  3. Step 3: Cross multiply
    11,554.13x = 17,840.63 × 17,840.63
  4. Step 4: Simplify right side
    11,554.13x = 318,287,900.39
  5. Step 5: Solve for x
    x = 318,287,900.39/11,554.13
  6. Step 6: Final answer
    x = 27,547.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.