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Finding the Third Proportional to 186,760 and 399,760

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Solution

The third proportional to 186,760 and 399,760 is: 855,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,760 : 399,760 = 399,760 : x
  2. Step 2: Convert to fraction form
    186,760/399,760 = 399,760/x
  3. Step 3: Cross multiply
    186,760x = 399,760 × 399,760
  4. Step 4: Simplify right side
    186,760x = 159,808,057,600
  5. Step 5: Solve for x
    x = 159,808,057,600/186,760
  6. Step 6: Final answer
    x = 855,686.75

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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.