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Finding the Third Proportional to 203,870 and 314,711

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Solution

The third proportional to 203,870 and 314,711 is: 485,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,870 : 314,711 = 314,711 : x
  2. Step 2: Convert to fraction form
    203,870/314,711 = 314,711/x
  3. Step 3: Cross multiply
    203,870x = 314,711 × 314,711
  4. Step 4: Simplify right side
    203,870x = 99,043,013,521
  5. Step 5: Solve for x
    x = 99,043,013,521/203,870
  6. Step 6: Final answer
    x = 485,814.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.