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Finding the Third Proportional to 859,464 and 1,821,378

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Solution

The third proportional to 859,464 and 1,821,378 is: 3,859,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,464 : 1,821,378 = 1,821,378 : x
  2. Step 2: Convert to fraction form
    859,464/1,821,378 = 1,821,378/x
  3. Step 3: Cross multiply
    859,464x = 1,821,378 × 1,821,378
  4. Step 4: Simplify right side
    859,464x = 3,317,417,818,884
  5. Step 5: Solve for x
    x = 3,317,417,818,884/859,464
  6. Step 6: Final answer
    x = 3,859,868.27

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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.