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Finding the Third Proportional to 21,646 and 28,943

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Solution

The third proportional to 21,646 and 28,943 is: 38,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646 : 28,943 = 28,943 : x
  2. Step 2: Convert to fraction form
    21,646/28,943 = 28,943/x
  3. Step 3: Cross multiply
    21,646x = 28,943 × 28,943
  4. Step 4: Simplify right side
    21,646x = 837,697,249
  5. Step 5: Solve for x
    x = 837,697,249/21,646
  6. Step 6: Final answer
    x = 38,699.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.