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Finding the Third Proportional to 155,259.75 and 219,737.25

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Solution

The third proportional to 155,259.75 and 219,737.25 is: 310,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,259.75 : 219,737.25 = 219,737.25 : x
  2. Step 2: Convert to fraction form
    155,259.75/219,737.25 = 219,737.25/x
  3. Step 3: Cross multiply
    155,259.75x = 219,737.25 × 219,737.25
  4. Step 4: Simplify right side
    155,259.75x = 48,284,459,037.56
  5. Step 5: Solve for x
    x = 48,284,459,037.56/155,259.75
  6. Step 6: Final answer
    x = 310,991.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.