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Finding the Third Proportional to 477,456 and 648,825

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Solution

The third proportional to 477,456 and 648,825 is: 881,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,456 : 648,825 = 648,825 : x
  2. Step 2: Convert to fraction form
    477,456/648,825 = 648,825/x
  3. Step 3: Cross multiply
    477,456x = 648,825 × 648,825
  4. Step 4: Simplify right side
    477,456x = 420,973,880,625
  5. Step 5: Solve for x
    x = 420,973,880,625/477,456
  6. Step 6: Final answer
    x = 881,701.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.