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Finding the Third Proportional to 490,845 and 720,109.50

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Solution

The third proportional to 490,845 and 720,109.50 is: 1,056,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,845 : 720,109.50 = 720,109.50 : x
  2. Step 2: Convert to fraction form
    490,845/720,109.50 = 720,109.50/x
  3. Step 3: Cross multiply
    490,845x = 720,109.50 × 720,109.50
  4. Step 4: Simplify right side
    490,845x = 518,557,691,990.25
  5. Step 5: Solve for x
    x = 518,557,691,990.25/490,845
  6. Step 6: Final answer
    x = 1,056,459.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.