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Finding the Third Proportional to 643,735.13 and 1,398,079.13

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Solution

The third proportional to 643,735.13 and 1,398,079.13 is: 3,036,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,735.13 : 1,398,079.13 = 1,398,079.13 : x
  2. Step 2: Convert to fraction form
    643,735.13/1,398,079.13 = 1,398,079.13/x
  3. Step 3: Cross multiply
    643,735.13x = 1,398,079.13 × 1,398,079.13
  4. Step 4: Simplify right side
    643,735.13x = 1,954,625,239,760.77
  5. Step 5: Solve for x
    x = 1,954,625,239,760.77/643,735.13
  6. Step 6: Final answer
    x = 3,036,381.21

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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.