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Finding the Third Proportional to 328,720 and 682,708

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Solution

The third proportional to 328,720 and 682,708 is: 1,417,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,720 : 682,708 = 682,708 : x
  2. Step 2: Convert to fraction form
    328,720/682,708 = 682,708/x
  3. Step 3: Cross multiply
    328,720x = 682,708 × 682,708
  4. Step 4: Simplify right side
    328,720x = 466,090,213,264
  5. Step 5: Solve for x
    x = 466,090,213,264/328,720
  6. Step 6: Final answer
    x = 1,417,894.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.