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Finding the Third Proportional to 819,634 and 1,265,803

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Solution

The third proportional to 819,634 and 1,265,803 is: 1,954,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,634 : 1,265,803 = 1,265,803 : x
  2. Step 2: Convert to fraction form
    819,634/1,265,803 = 1,265,803/x
  3. Step 3: Cross multiply
    819,634x = 1,265,803 × 1,265,803
  4. Step 4: Simplify right side
    819,634x = 1,602,257,234,809
  5. Step 5: Solve for x
    x = 1,602,257,234,809/819,634
  6. Step 6: Final answer
    x = 1,954,844.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.