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Finding the Third Proportional to 308,603 and 480,948

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Solution

The third proportional to 308,603 and 480,948 is: 749,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,603 : 480,948 = 480,948 : x
  2. Step 2: Convert to fraction form
    308,603/480,948 = 480,948/x
  3. Step 3: Cross multiply
    308,603x = 480,948 × 480,948
  4. Step 4: Simplify right side
    308,603x = 231,310,978,704
  5. Step 5: Solve for x
    x = 231,310,978,704/308,603
  6. Step 6: Final answer
    x = 749,542.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.