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Finding the Third Proportional to 20,457 and 45,282

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Solution

The third proportional to 20,457 and 45,282 is: 100,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457 : 45,282 = 45,282 : x
  2. Step 2: Convert to fraction form
    20,457/45,282 = 45,282/x
  3. Step 3: Cross multiply
    20,457x = 45,282 × 45,282
  4. Step 4: Simplify right side
    20,457x = 2,050,459,524
  5. Step 5: Solve for x
    x = 2,050,459,524/20,457
  6. Step 6: Final answer
    x = 100,232.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.