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Finding the Third Proportional to 313,602 and 477,777

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Solution

The third proportional to 313,602 and 477,777 is: 727,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,602 : 477,777 = 477,777 : x
  2. Step 2: Convert to fraction form
    313,602/477,777 = 477,777/x
  3. Step 3: Cross multiply
    313,602x = 477,777 × 477,777
  4. Step 4: Simplify right side
    313,602x = 228,270,861,729
  5. Step 5: Solve for x
    x = 228,270,861,729/313,602
  6. Step 6: Final answer
    x = 727,899.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.