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Finding the Third Proportional to 859,465.50 and 1,821,381

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Solution

The third proportional to 859,465.50 and 1,821,381 is: 3,859,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,465.50 : 1,821,381 = 1,821,381 : x
  2. Step 2: Convert to fraction form
    859,465.50/1,821,381 = 1,821,381/x
  3. Step 3: Cross multiply
    859,465.50x = 1,821,381 × 1,821,381
  4. Step 4: Simplify right side
    859,465.50x = 3,317,428,747,161
  5. Step 5: Solve for x
    x = 3,317,428,747,161/859,465.50
  6. Step 6: Final answer
    x = 3,859,874.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.