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Finding the Third Proportional to 330,056 and 721,936

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Solution

The third proportional to 330,056 and 721,936 is: 1,579,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,056 : 721,936 = 721,936 : x
  2. Step 2: Convert to fraction form
    330,056/721,936 = 721,936/x
  3. Step 3: Cross multiply
    330,056x = 721,936 × 721,936
  4. Step 4: Simplify right side
    330,056x = 521,191,588,096
  5. Step 5: Solve for x
    x = 521,191,588,096/330,056
  6. Step 6: Final answer
    x = 1,579,100.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.