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Finding the Third Proportional to 319,858 and 478,027

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Solution

The third proportional to 319,858 and 478,027 is: 714,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,858 : 478,027 = 478,027 : x
  2. Step 2: Convert to fraction form
    319,858/478,027 = 478,027/x
  3. Step 3: Cross multiply
    319,858x = 478,027 × 478,027
  4. Step 4: Simplify right side
    319,858x = 228,509,812,729
  5. Step 5: Solve for x
    x = 228,509,812,729/319,858
  6. Step 6: Final answer
    x = 714,410.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.