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Finding the Third Proportional to 308,882.25 and 676,812.75

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Solution

The third proportional to 308,882.25 and 676,812.75 is: 1,483,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,882.25 : 676,812.75 = 676,812.75 : x
  2. Step 2: Convert to fraction form
    308,882.25/676,812.75 = 676,812.75/x
  3. Step 3: Cross multiply
    308,882.25x = 676,812.75 × 676,812.75
  4. Step 4: Simplify right side
    308,882.25x = 458,075,498,562.56
  5. Step 5: Solve for x
    x = 458,075,498,562.56/308,882.25
  6. Step 6: Final answer
    x = 1,483,010.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.