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Finding the Third Proportional to 20,812.57 and 45,133.45

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Solution

The third proportional to 20,812.57 and 45,133.45 is: 97,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.57 : 45,133.45 = 45,133.45 : x
  2. Step 2: Convert to fraction form
    20,812.57/45,133.45 = 45,133.45/x
  3. Step 3: Cross multiply
    20,812.57x = 45,133.45 × 45,133.45
  4. Step 4: Simplify right side
    20,812.57x = 2,037,028,590.99
  5. Step 5: Solve for x
    x = 2,037,028,590.99/20,812.57
  6. Step 6: Final answer
    x = 97,874.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.