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Finding the Third Proportional to 187,020 and 405,736

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Solution

The third proportional to 187,020 and 405,736 is: 880,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,020 : 405,736 = 405,736 : x
  2. Step 2: Convert to fraction form
    187,020/405,736 = 405,736/x
  3. Step 3: Cross multiply
    187,020x = 405,736 × 405,736
  4. Step 4: Simplify right side
    187,020x = 164,621,701,696
  5. Step 5: Solve for x
    x = 164,621,701,696/187,020
  6. Step 6: Final answer
    x = 880,235.81

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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.