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Finding the Third Proportional to 17,807 and 27,681

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Solution

The third proportional to 17,807 and 27,681 is: 43,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807 : 27,681 = 27,681 : x
  2. Step 2: Convert to fraction form
    17,807/27,681 = 27,681/x
  3. Step 3: Cross multiply
    17,807x = 27,681 × 27,681
  4. Step 4: Simplify right side
    17,807x = 766,237,761
  5. Step 5: Solve for x
    x = 766,237,761/17,807
  6. Step 6: Final answer
    x = 43,030.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.