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Finding the Third Proportional to 305,825 and 449,724

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Solution

The third proportional to 305,825 and 449,724 is: 661,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,825 : 449,724 = 449,724 : x
  2. Step 2: Convert to fraction form
    305,825/449,724 = 449,724/x
  3. Step 3: Cross multiply
    305,825x = 449,724 × 449,724
  4. Step 4: Simplify right side
    305,825x = 202,251,676,176
  5. Step 5: Solve for x
    x = 202,251,676,176/305,825
  6. Step 6: Final answer
    x = 661,331.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.