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Finding the Third Proportional to 300,976 and 653,788

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Solution

The third proportional to 300,976 and 653,788 is: 1,420,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,976 : 653,788 = 653,788 : x
  2. Step 2: Convert to fraction form
    300,976/653,788 = 653,788/x
  3. Step 3: Cross multiply
    300,976x = 653,788 × 653,788
  4. Step 4: Simplify right side
    300,976x = 427,438,748,944
  5. Step 5: Solve for x
    x = 427,438,748,944/300,976
  6. Step 6: Final answer
    x = 1,420,175.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.