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Finding the Third Proportional to 27,030 and 36,389

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Solution

The third proportional to 27,030 and 36,389 is: 48,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,030 : 36,389 = 36,389 : x
  2. Step 2: Convert to fraction form
    27,030/36,389 = 36,389/x
  3. Step 3: Cross multiply
    27,030x = 36,389 × 36,389
  4. Step 4: Simplify right side
    27,030x = 1,324,159,321
  5. Step 5: Solve for x
    x = 1,324,159,321/27,030
  6. Step 6: Final answer
    x = 48,988.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.