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Finding the Third Proportional to 305,829 and 449,732.25

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Solution

The third proportional to 305,829 and 449,732.25 is: 661,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,829 : 449,732.25 = 449,732.25 : x
  2. Step 2: Convert to fraction form
    305,829/449,732.25 = 449,732.25/x
  3. Step 3: Cross multiply
    305,829x = 449,732.25 × 449,732.25
  4. Step 4: Simplify right side
    305,829x = 202,259,096,690.06
  5. Step 5: Solve for x
    x = 202,259,096,690.06/305,829
  6. Step 6: Final answer
    x = 661,347.02

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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.