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Finding the Third Proportional to 840,694 and 1,338,356

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Solution

The third proportional to 840,694 and 1,338,356 is: 2,130,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,694 : 1,338,356 = 1,338,356 : x
  2. Step 2: Convert to fraction form
    840,694/1,338,356 = 1,338,356/x
  3. Step 3: Cross multiply
    840,694x = 1,338,356 × 1,338,356
  4. Step 4: Simplify right side
    840,694x = 1,791,196,782,736
  5. Step 5: Solve for x
    x = 1,791,196,782,736/840,694
  6. Step 6: Final answer
    x = 2,130,616.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.