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Finding the Third Proportional to 371,145 and 813,223

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Solution

The third proportional to 371,145 and 813,223 is: 1,781,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,145 : 813,223 = 813,223 : x
  2. Step 2: Convert to fraction form
    371,145/813,223 = 813,223/x
  3. Step 3: Cross multiply
    371,145x = 813,223 × 813,223
  4. Step 4: Simplify right side
    371,145x = 661,331,647,729
  5. Step 5: Solve for x
    x = 661,331,647,729/371,145
  6. Step 6: Final answer
    x = 1,781,868.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.