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Finding the Third Proportional to 144,439.50 and 337,480.50

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Solution

The third proportional to 144,439.50 and 337,480.50 is: 788,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,439.50 : 337,480.50 = 337,480.50 : x
  2. Step 2: Convert to fraction form
    144,439.50/337,480.50 = 337,480.50/x
  3. Step 3: Cross multiply
    144,439.50x = 337,480.50 × 337,480.50
  4. Step 4: Simplify right side
    144,439.50x = 113,893,087,880.25
  5. Step 5: Solve for x
    x = 113,893,087,880.25/144,439.50
  6. Step 6: Final answer
    x = 788,517.60

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.