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Finding the Third Proportional to 21,563 and 29,693

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Solution

The third proportional to 21,563 and 29,693 is: 40,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563 : 29,693 = 29,693 : x
  2. Step 2: Convert to fraction form
    21,563/29,693 = 29,693/x
  3. Step 3: Cross multiply
    21,563x = 29,693 × 29,693
  4. Step 4: Simplify right side
    21,563x = 881,674,249
  5. Step 5: Solve for x
    x = 881,674,249/21,563
  6. Step 6: Final answer
    x = 40,888.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.