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Finding the Third Proportional to 139,994 and 210,711

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Solution

The third proportional to 139,994 and 210,711 is: 317,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,994 : 210,711 = 210,711 : x
  2. Step 2: Convert to fraction form
    139,994/210,711 = 210,711/x
  3. Step 3: Cross multiply
    139,994x = 210,711 × 210,711
  4. Step 4: Simplify right side
    139,994x = 44,399,125,521
  5. Step 5: Solve for x
    x = 44,399,125,521/139,994
  6. Step 6: Final answer
    x = 317,150.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.