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Finding the Third Proportional to 787,431.38 and 1,686,393

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Solution

The third proportional to 787,431.38 and 1,686,393 is: 3,611,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,431.38 : 1,686,393 = 1,686,393 : x
  2. Step 2: Convert to fraction form
    787,431.38/1,686,393 = 1,686,393/x
  3. Step 3: Cross multiply
    787,431.38x = 1,686,393 × 1,686,393
  4. Step 4: Simplify right side
    787,431.38x = 2,843,921,350,449
  5. Step 5: Solve for x
    x = 2,843,921,350,449/787,431.38
  6. Step 6: Final answer
    x = 3,611,643.43

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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.