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Finding the Third Proportional to 289,606.50 and 430,155

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Solution

The third proportional to 289,606.50 and 430,155 is: 638,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,606.50 : 430,155 = 430,155 : x
  2. Step 2: Convert to fraction form
    289,606.50/430,155 = 430,155/x
  3. Step 3: Cross multiply
    289,606.50x = 430,155 × 430,155
  4. Step 4: Simplify right side
    289,606.50x = 185,033,324,025
  5. Step 5: Solve for x
    x = 185,033,324,025/289,606.50
  6. Step 6: Final answer
    x = 638,912.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.