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Finding the Third Proportional to 840,682 and 1,338,339

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Solution

The third proportional to 840,682 and 1,338,339 is: 2,130,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,682 : 1,338,339 = 1,338,339 : x
  2. Step 2: Convert to fraction form
    840,682/1,338,339 = 1,338,339/x
  3. Step 3: Cross multiply
    840,682x = 1,338,339 × 1,338,339
  4. Step 4: Simplify right side
    840,682x = 1,791,151,278,921
  5. Step 5: Solve for x
    x = 1,791,151,278,921/840,682
  6. Step 6: Final answer
    x = 2,130,593.11

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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.