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Finding the Third Proportional to 689,930 and 1,508,110

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Solution

The third proportional to 689,930 and 1,508,110 is: 3,296,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,930 : 1,508,110 = 1,508,110 : x
  2. Step 2: Convert to fraction form
    689,930/1,508,110 = 1,508,110/x
  3. Step 3: Cross multiply
    689,930x = 1,508,110 × 1,508,110
  4. Step 4: Simplify right side
    689,930x = 2,274,395,772,100
  5. Step 5: Solve for x
    x = 2,274,395,772,100/689,930
  6. Step 6: Final answer
    x = 3,296,560.19

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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.