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Finding the Third Proportional to 280,710 and 613,916

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Solution

The third proportional to 280,710 and 613,916 is: 1,342,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,710 : 613,916 = 613,916 : x
  2. Step 2: Convert to fraction form
    280,710/613,916 = 613,916/x
  3. Step 3: Cross multiply
    280,710x = 613,916 × 613,916
  4. Step 4: Simplify right side
    280,710x = 376,892,855,056
  5. Step 5: Solve for x
    x = 376,892,855,056/280,710
  6. Step 6: Final answer
    x = 1,342,641.36

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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.