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Finding the Third Proportional to 839,210 and 1,265,782

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Solution

The third proportional to 839,210 and 1,265,782 is: 1,909,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,210 : 1,265,782 = 1,265,782 : x
  2. Step 2: Convert to fraction form
    839,210/1,265,782 = 1,265,782/x
  3. Step 3: Cross multiply
    839,210x = 1,265,782 × 1,265,782
  4. Step 4: Simplify right side
    839,210x = 1,602,204,071,524
  5. Step 5: Solve for x
    x = 1,602,204,071,524/839,210
  6. Step 6: Final answer
    x = 1,909,181.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.