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Finding the Third Proportional to 312,156 and 683,784

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Solution

The third proportional to 312,156 and 683,784 is: 1,497,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,156 : 683,784 = 683,784 : x
  2. Step 2: Convert to fraction form
    312,156/683,784 = 683,784/x
  3. Step 3: Cross multiply
    312,156x = 683,784 × 683,784
  4. Step 4: Simplify right side
    312,156x = 467,560,558,656
  5. Step 5: Solve for x
    x = 467,560,558,656/312,156
  6. Step 6: Final answer
    x = 1,497,842.61

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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.