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Finding the Third Proportional to 186,980 and 400,231

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Solution

The third proportional to 186,980 and 400,231 is: 856,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,980 : 400,231 = 400,231 : x
  2. Step 2: Convert to fraction form
    186,980/400,231 = 400,231/x
  3. Step 3: Cross multiply
    186,980x = 400,231 × 400,231
  4. Step 4: Simplify right side
    186,980x = 160,184,853,361
  5. Step 5: Solve for x
    x = 160,184,853,361/186,980
  6. Step 6: Final answer
    x = 856,695.12

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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.