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Finding the Third Proportional to 331,869.50 and 728,251

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Solution

The third proportional to 331,869.50 and 728,251 is: 1,598,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,869.50 : 728,251 = 728,251 : x
  2. Step 2: Convert to fraction form
    331,869.50/728,251 = 728,251/x
  3. Step 3: Cross multiply
    331,869.50x = 728,251 × 728,251
  4. Step 4: Simplify right side
    331,869.50x = 530,349,519,001
  5. Step 5: Solve for x
    x = 530,349,519,001/331,869.50
  6. Step 6: Final answer
    x = 1,598,066.47

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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.