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Finding the Third Proportional to 308,982.50 and 478,175

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Solution

The third proportional to 308,982.50 and 478,175 is: 740,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,982.50 : 478,175 = 478,175 : x
  2. Step 2: Convert to fraction form
    308,982.50/478,175 = 478,175/x
  3. Step 3: Cross multiply
    308,982.50x = 478,175 × 478,175
  4. Step 4: Simplify right side
    308,982.50x = 228,651,330,625
  5. Step 5: Solve for x
    x = 228,651,330,625/308,982.50
  6. Step 6: Final answer
    x = 740,013.85

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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.