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Finding the Third Proportional to 71,903.25 and 155,705.75

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Solution

The third proportional to 71,903.25 and 155,705.75 is: 337,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,903.25 : 155,705.75 = 155,705.75 : x
  2. Step 2: Convert to fraction form
    71,903.25/155,705.75 = 155,705.75/x
  3. Step 3: Cross multiply
    71,903.25x = 155,705.75 × 155,705.75
  4. Step 4: Simplify right side
    71,903.25x = 24,244,280,583.06
  5. Step 5: Solve for x
    x = 24,244,280,583.06/71,903.25
  6. Step 6: Final answer
    x = 337,179.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.