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Finding the Third Proportional to 348,711 and 538,839

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Solution

The third proportional to 348,711 and 538,839 is: 832,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,711 : 538,839 = 538,839 : x
  2. Step 2: Convert to fraction form
    348,711/538,839 = 538,839/x
  3. Step 3: Cross multiply
    348,711x = 538,839 × 538,839
  4. Step 4: Simplify right side
    348,711x = 290,347,467,921
  5. Step 5: Solve for x
    x = 290,347,467,921/348,711
  6. Step 6: Final answer
    x = 832,630.65

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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.