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Finding the Third Proportional to 27,009 and 42,729.75

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Solution

The third proportional to 27,009 and 42,729.75 is: 67,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009 : 42,729.75 = 42,729.75 : x
  2. Step 2: Convert to fraction form
    27,009/42,729.75 = 42,729.75/x
  3. Step 3: Cross multiply
    27,009x = 42,729.75 × 42,729.75
  4. Step 4: Simplify right side
    27,009x = 1,825,831,535.06
  5. Step 5: Solve for x
    x = 1,825,831,535.06/27,009
  6. Step 6: Final answer
    x = 67,600.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.