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Finding the Third Proportional to 350,784 and 757,680

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Solution

The third proportional to 350,784 and 757,680 is: 1,636,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,784 : 757,680 = 757,680 : x
  2. Step 2: Convert to fraction form
    350,784/757,680 = 757,680/x
  3. Step 3: Cross multiply
    350,784x = 757,680 × 757,680
  4. Step 4: Simplify right side
    350,784x = 574,078,982,400
  5. Step 5: Solve for x
    x = 574,078,982,400/350,784
  6. Step 6: Final answer
    x = 1,636,559.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.