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Finding the Third Proportional to 348,722 and 538,857

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Solution

The third proportional to 348,722 and 538,857 is: 832,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,722 : 538,857 = 538,857 : x
  2. Step 2: Convert to fraction form
    348,722/538,857 = 538,857/x
  3. Step 3: Cross multiply
    348,722x = 538,857 × 538,857
  4. Step 4: Simplify right side
    348,722x = 290,366,866,449
  5. Step 5: Solve for x
    x = 290,366,866,449/348,722
  6. Step 6: Final answer
    x = 832,660.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.