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Finding the Third Proportional to 20,214 and 41,428

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Solution

The third proportional to 20,214 and 41,428 is: 84,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214 : 41,428 = 41,428 : x
  2. Step 2: Convert to fraction form
    20,214/41,428 = 41,428/x
  3. Step 3: Cross multiply
    20,214x = 41,428 × 41,428
  4. Step 4: Simplify right side
    20,214x = 1,716,279,184
  5. Step 5: Solve for x
    x = 1,716,279,184/20,214
  6. Step 6: Final answer
    x = 84,905.47

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.