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Finding the Third Proportional to 187,343 and 285,707

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Solution

The third proportional to 187,343 and 285,707 is: 435,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,343 : 285,707 = 285,707 : x
  2. Step 2: Convert to fraction form
    187,343/285,707 = 285,707/x
  3. Step 3: Cross multiply
    187,343x = 285,707 × 285,707
  4. Step 4: Simplify right side
    187,343x = 81,628,489,849
  5. Step 5: Solve for x
    x = 81,628,489,849/187,343
  6. Step 6: Final answer
    x = 435,716.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.