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Finding the Third Proportional to 187,296 and 406,340

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Solution

The third proportional to 187,296 and 406,340 is: 881,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,296 : 406,340 = 406,340 : x
  2. Step 2: Convert to fraction form
    187,296/406,340 = 406,340/x
  3. Step 3: Cross multiply
    187,296x = 406,340 × 406,340
  4. Step 4: Simplify right side
    187,296x = 165,112,195,600
  5. Step 5: Solve for x
    x = 165,112,195,600/187,296
  6. Step 6: Final answer
    x = 881,557.51

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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.