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Finding the Third Proportional to 308,989.50 and 477,484.50

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Solution

The third proportional to 308,989.50 and 477,484.50 is: 737,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,989.50 : 477,484.50 = 477,484.50 : x
  2. Step 2: Convert to fraction form
    308,989.50/477,484.50 = 477,484.50/x
  3. Step 3: Cross multiply
    308,989.50x = 477,484.50 × 477,484.50
  4. Step 4: Simplify right side
    308,989.50x = 227,991,447,740.25
  5. Step 5: Solve for x
    x = 227,991,447,740.25/308,989.50
  6. Step 6: Final answer
    x = 737,861.47

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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.