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Finding the Third Proportional to 643,704 and 1,370,567

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Solution

The third proportional to 643,704 and 1,370,567 is: 2,918,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,704 : 1,370,567 = 1,370,567 : x
  2. Step 2: Convert to fraction form
    643,704/1,370,567 = 1,370,567/x
  3. Step 3: Cross multiply
    643,704x = 1,370,567 × 1,370,567
  4. Step 4: Simplify right side
    643,704x = 1,878,453,901,489
  5. Step 5: Solve for x
    x = 1,878,453,901,489/643,704
  6. Step 6: Final answer
    x = 2,918,195.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.