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Finding the Third Proportional to 206,424 and 305,807

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Solution

The third proportional to 206,424 and 305,807 is: 453,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,424 : 305,807 = 305,807 : x
  2. Step 2: Convert to fraction form
    206,424/305,807 = 305,807/x
  3. Step 3: Cross multiply
    206,424x = 305,807 × 305,807
  4. Step 4: Simplify right side
    206,424x = 93,517,921,249
  5. Step 5: Solve for x
    x = 93,517,921,249/206,424
  6. Step 6: Final answer
    x = 453,038.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.