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Finding the Third Proportional to 155,981.25 and 319,355.25

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Solution

The third proportional to 155,981.25 and 319,355.25 is: 653,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,981.25 : 319,355.25 = 319,355.25 : x
  2. Step 2: Convert to fraction form
    155,981.25/319,355.25 = 319,355.25/x
  3. Step 3: Cross multiply
    155,981.25x = 319,355.25 × 319,355.25
  4. Step 4: Simplify right side
    155,981.25x = 101,987,775,702.56
  5. Step 5: Solve for x
    x = 101,987,775,702.56/155,981.25
  6. Step 6: Final answer
    x = 653,846.38

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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.