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Finding the Third Proportional to 27,143 and 39,205

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Solution

The third proportional to 27,143 and 39,205 is: 56,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143 : 39,205 = 39,205 : x
  2. Step 2: Convert to fraction form
    27,143/39,205 = 39,205/x
  3. Step 3: Cross multiply
    27,143x = 39,205 × 39,205
  4. Step 4: Simplify right side
    27,143x = 1,537,032,025
  5. Step 5: Solve for x
    x = 1,537,032,025/27,143
  6. Step 6: Final answer
    x = 56,627.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.