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Finding the Third Proportional to 839,200 and 1,265,767

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Solution

The third proportional to 839,200 and 1,265,767 is: 1,909,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,200 : 1,265,767 = 1,265,767 : x
  2. Step 2: Convert to fraction form
    839,200/1,265,767 = 1,265,767/x
  3. Step 3: Cross multiply
    839,200x = 1,265,767 × 1,265,767
  4. Step 4: Simplify right side
    839,200x = 1,602,166,098,289
  5. Step 5: Solve for x
    x = 1,602,166,098,289/839,200
  6. Step 6: Final answer
    x = 1,909,158.84

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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.