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Finding the Third Proportional to 308,617 and 480,969

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Solution

The third proportional to 308,617 and 480,969 is: 749,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,617 : 480,969 = 480,969 : x
  2. Step 2: Convert to fraction form
    308,617/480,969 = 480,969/x
  3. Step 3: Cross multiply
    308,617x = 480,969 × 480,969
  4. Step 4: Simplify right side
    308,617x = 231,331,178,961
  5. Step 5: Solve for x
    x = 231,331,178,961/308,617
  6. Step 6: Final answer
    x = 749,573.68

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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.