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Finding the Third Proportional to 187,771 and 407,396

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Solution

The third proportional to 187,771 and 407,396 is: 883,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,771 : 407,396 = 407,396 : x
  2. Step 2: Convert to fraction form
    187,771/407,396 = 407,396/x
  3. Step 3: Cross multiply
    187,771x = 407,396 × 407,396
  4. Step 4: Simplify right side
    187,771x = 165,971,500,816
  5. Step 5: Solve for x
    x = 165,971,500,816/187,771
  6. Step 6: Final answer
    x = 883,903.80

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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.