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Finding the Third Proportional to 20,710 and 32,284

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Solution

The third proportional to 20,710 and 32,284 is: 50,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710 : 32,284 = 32,284 : x
  2. Step 2: Convert to fraction form
    20,710/32,284 = 32,284/x
  3. Step 3: Cross multiply
    20,710x = 32,284 × 32,284
  4. Step 4: Simplify right side
    20,710x = 1,042,256,656
  5. Step 5: Solve for x
    x = 1,042,256,656/20,710
  6. Step 6: Final answer
    x = 50,326.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.