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Finding the Third Proportional to 291,682 and 613,892

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Solution

The third proportional to 291,682 and 613,892 is: 1,292,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,682 : 613,892 = 613,892 : x
  2. Step 2: Convert to fraction form
    291,682/613,892 = 613,892/x
  3. Step 3: Cross multiply
    291,682x = 613,892 × 613,892
  4. Step 4: Simplify right side
    291,682x = 376,863,387,664
  5. Step 5: Solve for x
    x = 376,863,387,664/291,682
  6. Step 6: Final answer
    x = 1,292,035.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.