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Finding the Third Proportional to 308,979 and 478,170

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Solution

The third proportional to 308,979 and 478,170 is: 740,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,979 : 478,170 = 478,170 : x
  2. Step 2: Convert to fraction form
    308,979/478,170 = 478,170/x
  3. Step 3: Cross multiply
    308,979x = 478,170 × 478,170
  4. Step 4: Simplify right side
    308,979x = 228,646,548,900
  5. Step 5: Solve for x
    x = 228,646,548,900/308,979
  6. Step 6: Final answer
    x = 740,006.76

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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.