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Finding the Third Proportional to 90,742.50 and 208,280.25

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Solution

The third proportional to 90,742.50 and 208,280.25 is: 478,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,742.50 : 208,280.25 = 208,280.25 : x
  2. Step 2: Convert to fraction form
    90,742.50/208,280.25 = 208,280.25/x
  3. Step 3: Cross multiply
    90,742.50x = 208,280.25 × 208,280.25
  4. Step 4: Simplify right side
    90,742.50x = 43,380,662,540.06
  5. Step 5: Solve for x
    x = 43,380,662,540.06/90,742.50
  6. Step 6: Final answer
    x = 478,063.34

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.