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Finding the Third Proportional to 186,485 and 407,127

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Solution

The third proportional to 186,485 and 407,127 is: 888,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,485 : 407,127 = 407,127 : x
  2. Step 2: Convert to fraction form
    186,485/407,127 = 407,127/x
  3. Step 3: Cross multiply
    186,485x = 407,127 × 407,127
  4. Step 4: Simplify right side
    186,485x = 165,752,394,129
  5. Step 5: Solve for x
    x = 165,752,394,129/186,485
  6. Step 6: Final answer
    x = 888,824.27

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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.