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Finding the Third Proportional to 303,518 and 656,938

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Solution

The third proportional to 303,518 and 656,938 is: 1,421,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,518 : 656,938 = 656,938 : x
  2. Step 2: Convert to fraction form
    303,518/656,938 = 656,938/x
  3. Step 3: Cross multiply
    303,518x = 656,938 × 656,938
  4. Step 4: Simplify right side
    303,518x = 431,567,535,844
  5. Step 5: Solve for x
    x = 431,567,535,844/303,518
  6. Step 6: Final answer
    x = 1,421,884.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.