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Finding the Third Proportional to 310,143 and 491,906.50

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Solution

The third proportional to 310,143 and 491,906.50 is: 780,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,143 : 491,906.50 = 491,906.50 : x
  2. Step 2: Convert to fraction form
    310,143/491,906.50 = 491,906.50/x
  3. Step 3: Cross multiply
    310,143x = 491,906.50 × 491,906.50
  4. Step 4: Simplify right side
    310,143x = 241,972,004,742.25
  5. Step 5: Solve for x
    x = 241,972,004,742.25/310,143
  6. Step 6: Final answer
    x = 780,194.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.