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Finding the Third Proportional to 305,183 and 662,904.50

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Solution

The third proportional to 305,183 and 662,904.50 is: 1,439,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,183 : 662,904.50 = 662,904.50 : x
  2. Step 2: Convert to fraction form
    305,183/662,904.50 = 662,904.50/x
  3. Step 3: Cross multiply
    305,183x = 662,904.50 × 662,904.50
  4. Step 4: Simplify right side
    305,183x = 439,442,376,120.25
  5. Step 5: Solve for x
    x = 439,442,376,120.25/305,183
  6. Step 6: Final answer
    x = 1,439,930.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.