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Finding the Third Proportional to 186,944 and 407,720

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Solution

The third proportional to 186,944 and 407,720 is: 889,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,944 : 407,720 = 407,720 : x
  2. Step 2: Convert to fraction form
    186,944/407,720 = 407,720/x
  3. Step 3: Cross multiply
    186,944x = 407,720 × 407,720
  4. Step 4: Simplify right side
    186,944x = 166,235,598,400
  5. Step 5: Solve for x
    x = 166,235,598,400/186,944
  6. Step 6: Final answer
    x = 889,226.71

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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.