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Finding the Third Proportional to 315,668 and 690,385

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Solution

The third proportional to 315,668 and 690,385 is: 1,509,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,668 : 690,385 = 690,385 : x
  2. Step 2: Convert to fraction form
    315,668/690,385 = 690,385/x
  3. Step 3: Cross multiply
    315,668x = 690,385 × 690,385
  4. Step 4: Simplify right side
    315,668x = 476,631,448,225
  5. Step 5: Solve for x
    x = 476,631,448,225/315,668
  6. Step 6: Final answer
    x = 1,509,913.73

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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.