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Finding the Third Proportional to 27,288 and 53,293.50

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Solution

The third proportional to 27,288 and 53,293.50 is: 104,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,288 : 53,293.50 = 53,293.50 : x
  2. Step 2: Convert to fraction form
    27,288/53,293.50 = 53,293.50/x
  3. Step 3: Cross multiply
    27,288x = 53,293.50 × 53,293.50
  4. Step 4: Simplify right side
    27,288x = 2,840,197,142.25
  5. Step 5: Solve for x
    x = 2,840,197,142.25/27,288
  6. Step 6: Final answer
    x = 104,082.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.