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Finding the Third Proportional to 486,072 and 759,819

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Solution

The third proportional to 486,072 and 759,819 is: 1,187,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,072 : 759,819 = 759,819 : x
  2. Step 2: Convert to fraction form
    486,072/759,819 = 759,819/x
  3. Step 3: Cross multiply
    486,072x = 759,819 × 759,819
  4. Step 4: Simplify right side
    486,072x = 577,324,912,761
  5. Step 5: Solve for x
    x = 577,324,912,761/486,072
  6. Step 6: Final answer
    x = 1,187,735.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.