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Finding the Third Proportional to 299,454.75 and 648,742.50

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Solution

The third proportional to 299,454.75 and 648,742.50 is: 1,405,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,454.75 : 648,742.50 = 648,742.50 : x
  2. Step 2: Convert to fraction form
    299,454.75/648,742.50 = 648,742.50/x
  3. Step 3: Cross multiply
    299,454.75x = 648,742.50 × 648,742.50
  4. Step 4: Simplify right side
    299,454.75x = 420,866,831,306.25
  5. Step 5: Solve for x
    x = 420,866,831,306.25/299,454.75
  6. Step 6: Final answer
    x = 1,405,443.83

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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.