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Finding the Third Proportional to 859,465.69 and 1,821,381.19

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Solution

The third proportional to 859,465.69 and 1,821,381.19 is: 3,859,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,465.69 : 1,821,381.19 = 1,821,381.19 : x
  2. Step 2: Convert to fraction form
    859,465.69/1,821,381.19 = 1,821,381.19/x
  3. Step 3: Cross multiply
    859,465.69x = 1,821,381.19 × 1,821,381.19
  4. Step 4: Simplify right side
    859,465.69x = 3,317,429,430,178.91
  5. Step 5: Solve for x
    x = 3,317,429,430,178.91/859,465.69
  6. Step 6: Final answer
    x = 3,859,874.20

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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.