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Finding the Third Proportional to 187,384 and 406,120

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Solution

The third proportional to 187,384 and 406,120 is: 880,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,384 : 406,120 = 406,120 : x
  2. Step 2: Convert to fraction form
    187,384/406,120 = 406,120/x
  3. Step 3: Cross multiply
    187,384x = 406,120 × 406,120
  4. Step 4: Simplify right side
    187,384x = 164,933,454,400
  5. Step 5: Solve for x
    x = 164,933,454,400/187,384
  6. Step 6: Final answer
    x = 880,189.63

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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.