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Finding the Third Proportional to 27,999 and 43,417

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Solution

The third proportional to 27,999 and 43,417 is: 67,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999 : 43,417 = 43,417 : x
  2. Step 2: Convert to fraction form
    27,999/43,417 = 43,417/x
  3. Step 3: Cross multiply
    27,999x = 43,417 × 43,417
  4. Step 4: Simplify right side
    27,999x = 1,885,035,889
  5. Step 5: Solve for x
    x = 1,885,035,889/27,999
  6. Step 6: Final answer
    x = 67,325.11

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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.