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Finding the Third Proportional to 202,101.33 and 440,082.81

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Solution

The third proportional to 202,101.33 and 440,082.81 is: 958,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101.33 : 440,082.81 = 440,082.81 : x
  2. Step 2: Convert to fraction form
    202,101.33/440,082.81 = 440,082.81/x
  3. Step 3: Cross multiply
    202,101.33x = 440,082.81 × 440,082.81
  4. Step 4: Simplify right side
    202,101.33x = 193,672,878,419.76
  5. Step 5: Solve for x
    x = 193,672,878,419.76/202,101.33
  6. Step 6: Final answer
    x = 958,295.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.