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Finding the Third Proportional to 643,995 and 1,398,609

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Solution

The third proportional to 643,995 and 1,398,609 is: 3,037,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,995 : 1,398,609 = 1,398,609 : x
  2. Step 2: Convert to fraction form
    643,995/1,398,609 = 1,398,609/x
  3. Step 3: Cross multiply
    643,995x = 1,398,609 × 1,398,609
  4. Step 4: Simplify right side
    643,995x = 1,956,107,134,881
  5. Step 5: Solve for x
    x = 1,956,107,134,881/643,995
  6. Step 6: Final answer
    x = 3,037,457.02

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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.