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Finding the Third Proportional to 429,141 and 649,236

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Solution

The third proportional to 429,141 and 649,236 is: 982,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,141 : 649,236 = 649,236 : x
  2. Step 2: Convert to fraction form
    429,141/649,236 = 649,236/x
  3. Step 3: Cross multiply
    429,141x = 649,236 × 649,236
  4. Step 4: Simplify right side
    429,141x = 421,507,383,696
  5. Step 5: Solve for x
    x = 421,507,383,696/429,141
  6. Step 6: Final answer
    x = 982,211.87

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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.