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Finding the Third Proportional to 643,403 and 1,270,658

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Solution

The third proportional to 643,403 and 1,270,658 is: 2,509,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,403 : 1,270,658 = 1,270,658 : x
  2. Step 2: Convert to fraction form
    643,403/1,270,658 = 1,270,658/x
  3. Step 3: Cross multiply
    643,403x = 1,270,658 × 1,270,658
  4. Step 4: Simplify right side
    643,403x = 1,614,571,752,964
  5. Step 5: Solve for x
    x = 1,614,571,752,964/643,403
  6. Step 6: Final answer
    x = 2,509,425.28

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.