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Finding the Third Proportional to 155,992.50 and 319,376

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Solution

The third proportional to 155,992.50 and 319,376 is: 653,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,992.50 : 319,376 = 319,376 : x
  2. Step 2: Convert to fraction form
    155,992.50/319,376 = 319,376/x
  3. Step 3: Cross multiply
    155,992.50x = 319,376 × 319,376
  4. Step 4: Simplify right side
    155,992.50x = 102,001,029,376
  5. Step 5: Solve for x
    x = 102,001,029,376/155,992.50
  6. Step 6: Final answer
    x = 653,884.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.