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Finding the Third Proportional to 21,037 and 45,353

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Solution

The third proportional to 21,037 and 45,353 is: 97,775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,037 : 45,353 = 45,353 : x
  2. Step 2: Convert to fraction form
    21,037/45,353 = 45,353/x
  3. Step 3: Cross multiply
    21,037x = 45,353 × 45,353
  4. Step 4: Simplify right side
    21,037x = 2,056,894,609
  5. Step 5: Solve for x
    x = 2,056,894,609/21,037
  6. Step 6: Final answer
    x = 97,775.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.