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Finding the Third Proportional to 406,208 and 648,672

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Solution

The third proportional to 406,208 and 648,672 is: 1,035,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,208 : 648,672 = 648,672 : x
  2. Step 2: Convert to fraction form
    406,208/648,672 = 648,672/x
  3. Step 3: Cross multiply
    406,208x = 648,672 × 648,672
  4. Step 4: Simplify right side
    406,208x = 420,775,363,584
  5. Step 5: Solve for x
    x = 420,775,363,584/406,208
  6. Step 6: Final answer
    x = 1,035,861.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.