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Finding the Third Proportional to 20,866 and 32,791

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Solution

The third proportional to 20,866 and 32,791 is: 51,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866 : 32,791 = 32,791 : x
  2. Step 2: Convert to fraction form
    20,866/32,791 = 32,791/x
  3. Step 3: Cross multiply
    20,866x = 32,791 × 32,791
  4. Step 4: Simplify right side
    20,866x = 1,075,249,681
  5. Step 5: Solve for x
    x = 1,075,249,681/20,866
  6. Step 6: Final answer
    x = 51,531.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.