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Finding the Third Proportional to 155,976 and 319,342.50

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Solution

The third proportional to 155,976 and 319,342.50 is: 653,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,976 : 319,342.50 = 319,342.50 : x
  2. Step 2: Convert to fraction form
    155,976/319,342.50 = 319,342.50/x
  3. Step 3: Cross multiply
    155,976x = 319,342.50 × 319,342.50
  4. Step 4: Simplify right side
    155,976x = 101,979,632,306.25
  5. Step 5: Solve for x
    x = 101,979,632,306.25/155,976
  6. Step 6: Final answer
    x = 653,816.18

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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.