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Finding the Third Proportional to 398,671.88 and 874,850.63

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Solution

The third proportional to 398,671.88 and 874,850.63 is: 1,919,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,671.88 : 874,850.63 = 874,850.63 : x
  2. Step 2: Convert to fraction form
    398,671.88/874,850.63 = 874,850.63/x
  3. Step 3: Cross multiply
    398,671.88x = 874,850.63 × 874,850.63
  4. Step 4: Simplify right side
    398,671.88x = 765,363,616,062.89
  5. Step 5: Solve for x
    x = 765,363,616,062.89/398,671.88
  6. Step 6: Final answer
    x = 1,919,783.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.