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Finding the Third Proportional to 643,977 and 1,398,600

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Solution

The third proportional to 643,977 and 1,398,600 is: 3,037,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,977 : 1,398,600 = 1,398,600 : x
  2. Step 2: Convert to fraction form
    643,977/1,398,600 = 1,398,600/x
  3. Step 3: Cross multiply
    643,977x = 1,398,600 × 1,398,600
  4. Step 4: Simplify right side
    643,977x = 1,956,081,960,000
  5. Step 5: Solve for x
    x = 1,956,081,960,000/643,977
  6. Step 6: Final answer
    x = 3,037,502.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.