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Finding the Third Proportional to 21,312 and 27,810

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Solution

The third proportional to 21,312 and 27,810 is: 36,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312 : 27,810 = 27,810 : x
  2. Step 2: Convert to fraction form
    21,312/27,810 = 27,810/x
  3. Step 3: Cross multiply
    21,312x = 27,810 × 27,810
  4. Step 4: Simplify right side
    21,312x = 773,396,100
  5. Step 5: Solve for x
    x = 773,396,100/21,312
  6. Step 6: Final answer
    x = 36,289.23

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.