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Finding the Third Proportional to 155,993.25 and 319,377

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Solution

The third proportional to 155,993.25 and 319,377 is: 653,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,993.25 : 319,377 = 319,377 : x
  2. Step 2: Convert to fraction form
    155,993.25/319,377 = 319,377/x
  3. Step 3: Cross multiply
    155,993.25x = 319,377 × 319,377
  4. Step 4: Simplify right side
    155,993.25x = 102,001,668,129
  5. Step 5: Solve for x
    x = 102,001,668,129/155,993.25
  6. Step 6: Final answer
    x = 653,885.14

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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.