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Finding the Third Proportional to 398,956.22 and 865,731.38

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Solution

The third proportional to 398,956.22 and 865,731.38 is: 1,878,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,956.22 : 865,731.38 = 865,731.38 : x
  2. Step 2: Convert to fraction form
    398,956.22/865,731.38 = 865,731.38/x
  3. Step 3: Cross multiply
    398,956.22x = 865,731.38 × 865,731.38
  4. Step 4: Simplify right side
    398,956.22x = 749,490,813,659.39
  5. Step 5: Solve for x
    x = 749,490,813,659.39/398,956.22
  6. Step 6: Final answer
    x = 1,878,629.23

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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.