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Finding the Third Proportional to 186,120 and 407,008

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Solution

The third proportional to 186,120 and 407,008 is: 890,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,120 : 407,008 = 407,008 : x
  2. Step 2: Convert to fraction form
    186,120/407,008 = 407,008/x
  3. Step 3: Cross multiply
    186,120x = 407,008 × 407,008
  4. Step 4: Simplify right side
    186,120x = 165,655,512,064
  5. Step 5: Solve for x
    x = 165,655,512,064/186,120
  6. Step 6: Final answer
    x = 890,046.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.