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Finding the Third Proportional to 319,920 and 686,388

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Solution

The third proportional to 319,920 and 686,388 is: 1,472,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,920 : 686,388 = 686,388 : x
  2. Step 2: Convert to fraction form
    319,920/686,388 = 686,388/x
  3. Step 3: Cross multiply
    319,920x = 686,388 × 686,388
  4. Step 4: Simplify right side
    319,920x = 471,128,486,544
  5. Step 5: Solve for x
    x = 471,128,486,544/319,920
  6. Step 6: Final answer
    x = 1,472,644.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.