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Finding the Third Proportional to 455,469 and 648,825

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Solution

The third proportional to 455,469 and 648,825 is: 924,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,469 : 648,825 = 648,825 : x
  2. Step 2: Convert to fraction form
    455,469/648,825 = 648,825/x
  3. Step 3: Cross multiply
    455,469x = 648,825 × 648,825
  4. Step 4: Simplify right side
    455,469x = 420,973,880,625
  5. Step 5: Solve for x
    x = 420,973,880,625/455,469
  6. Step 6: Final answer
    x = 924,264.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.