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Finding the Third Proportional to 186,483 and 407,123

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Solution

The third proportional to 186,483 and 407,123 is: 888,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,483 : 407,123 = 407,123 : x
  2. Step 2: Convert to fraction form
    186,483/407,123 = 407,123/x
  3. Step 3: Cross multiply
    186,483x = 407,123 × 407,123
  4. Step 4: Simplify right side
    186,483x = 165,749,137,129
  5. Step 5: Solve for x
    x = 165,749,137,129/186,483
  6. Step 6: Final answer
    x = 888,816.34

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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.