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Finding the Third Proportional to 643,344 and 1,375,035

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Solution

The third proportional to 643,344 and 1,375,035 is: 2,938,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,344 : 1,375,035 = 1,375,035 : x
  2. Step 2: Convert to fraction form
    643,344/1,375,035 = 1,375,035/x
  3. Step 3: Cross multiply
    643,344x = 1,375,035 × 1,375,035
  4. Step 4: Simplify right side
    643,344x = 1,890,721,251,225
  5. Step 5: Solve for x
    x = 1,890,721,251,225/643,344
  6. Step 6: Final answer
    x = 2,938,896.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.