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Finding the Third Proportional to 308,785.50 and 493,011

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Solution

The third proportional to 308,785.50 and 493,011 is: 787,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,785.50 : 493,011 = 493,011 : x
  2. Step 2: Convert to fraction form
    308,785.50/493,011 = 493,011/x
  3. Step 3: Cross multiply
    308,785.50x = 493,011 × 493,011
  4. Step 4: Simplify right side
    308,785.50x = 243,059,846,121
  5. Step 5: Solve for x
    x = 243,059,846,121/308,785.50
  6. Step 6: Final answer
    x = 787,147.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.