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Finding the Third Proportional to 187,420.81 and 408,119.13

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Solution

The third proportional to 187,420.81 and 408,119.13 is: 888,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,420.81 : 408,119.13 = 408,119.13 : x
  2. Step 2: Convert to fraction form
    187,420.81/408,119.13 = 408,119.13/x
  3. Step 3: Cross multiply
    187,420.81x = 408,119.13 × 408,119.13
  4. Step 4: Simplify right side
    187,420.81x = 166,561,220,190.77
  5. Step 5: Solve for x
    x = 166,561,220,190.77/187,420.81
  6. Step 6: Final answer
    x = 888,701.84

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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.