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Finding the Third Proportional to 310,191.19 and 683,236.69

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Solution

The third proportional to 310,191.19 and 683,236.69 is: 1,504,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,191.19 : 683,236.69 = 683,236.69 : x
  2. Step 2: Convert to fraction form
    310,191.19/683,236.69 = 683,236.69/x
  3. Step 3: Cross multiply
    310,191.19x = 683,236.69 × 683,236.69
  4. Step 4: Simplify right side
    310,191.19x = 466,812,371,145.97
  5. Step 5: Solve for x
    x = 466,812,371,145.97/310,191.19
  6. Step 6: Final answer
    x = 1,504,918.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.