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Finding the Third Proportional to 187,232 and 407,782

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Solution

The third proportional to 187,232 and 407,782 is: 888,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,232 : 407,782 = 407,782 : x
  2. Step 2: Convert to fraction form
    187,232/407,782 = 407,782/x
  3. Step 3: Cross multiply
    187,232x = 407,782 × 407,782
  4. Step 4: Simplify right side
    187,232x = 166,286,159,524
  5. Step 5: Solve for x
    x = 166,286,159,524/187,232
  6. Step 6: Final answer
    x = 888,128.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.