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Finding the Third Proportional to 20,789 and 45,953

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Solution

The third proportional to 20,789 and 45,953 is: 101,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,789 : 45,953 = 45,953 : x
  2. Step 2: Convert to fraction form
    20,789/45,953 = 45,953/x
  3. Step 3: Cross multiply
    20,789x = 45,953 × 45,953
  4. Step 4: Simplify right side
    20,789x = 2,111,678,209
  5. Step 5: Solve for x
    x = 2,111,678,209/20,789
  6. Step 6: Final answer
    x = 101,576.71

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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.