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Finding the Third Proportional to 21,420 and 32,946

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Solution

The third proportional to 21,420 and 32,946 is: 50,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420 : 32,946 = 32,946 : x
  2. Step 2: Convert to fraction form
    21,420/32,946 = 32,946/x
  3. Step 3: Cross multiply
    21,420x = 32,946 × 32,946
  4. Step 4: Simplify right side
    21,420x = 1,085,438,916
  5. Step 5: Solve for x
    x = 1,085,438,916/21,420
  6. Step 6: Final answer
    x = 50,674.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.