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Finding the Third Proportional to 186,940 and 400,124

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Solution

The third proportional to 186,940 and 400,124 is: 856,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,940 : 400,124 = 400,124 : x
  2. Step 2: Convert to fraction form
    186,940/400,124 = 400,124/x
  3. Step 3: Cross multiply
    186,940x = 400,124 × 400,124
  4. Step 4: Simplify right side
    186,940x = 160,099,215,376
  5. Step 5: Solve for x
    x = 160,099,215,376/186,940
  6. Step 6: Final answer
    x = 856,420.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.