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Finding the Third Proportional to 451,981 and 613,847

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Solution

The third proportional to 451,981 and 613,847 is: 833,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,981 : 613,847 = 613,847 : x
  2. Step 2: Convert to fraction form
    451,981/613,847 = 613,847/x
  3. Step 3: Cross multiply
    451,981x = 613,847 × 613,847
  4. Step 4: Simplify right side
    451,981x = 376,808,139,409
  5. Step 5: Solve for x
    x = 376,808,139,409/451,981
  6. Step 6: Final answer
    x = 833,681.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.