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Finding the Third Proportional to 429,147.50 and 649,243.50

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Solution

The third proportional to 429,147.50 and 649,243.50 is: 982,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,147.50 : 649,243.50 = 649,243.50 : x
  2. Step 2: Convert to fraction form
    429,147.50/649,243.50 = 649,243.50/x
  3. Step 3: Cross multiply
    429,147.50x = 649,243.50 × 649,243.50
  4. Step 4: Simplify right side
    429,147.50x = 421,517,122,292.25
  5. Step 5: Solve for x
    x = 421,517,122,292.25/429,147.50
  6. Step 6: Final answer
    x = 982,219.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.