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Finding the Third Proportional to 160,860 and 351,520

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Solution

The third proportional to 160,860 and 351,520 is: 768,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,860 : 351,520 = 351,520 : x
  2. Step 2: Convert to fraction form
    160,860/351,520 = 351,520/x
  3. Step 3: Cross multiply
    160,860x = 351,520 × 351,520
  4. Step 4: Simplify right side
    160,860x = 123,566,310,400
  5. Step 5: Solve for x
    x = 123,566,310,400/160,860
  6. Step 6: Final answer
    x = 768,160.58

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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.