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Finding the Third Proportional to 186,155 and 278,481

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Solution

The third proportional to 186,155 and 278,481 is: 416,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,155 : 278,481 = 278,481 : x
  2. Step 2: Convert to fraction form
    186,155/278,481 = 278,481/x
  3. Step 3: Cross multiply
    186,155x = 278,481 × 278,481
  4. Step 4: Simplify right side
    186,155x = 77,551,667,361
  5. Step 5: Solve for x
    x = 77,551,667,361/186,155
  6. Step 6: Final answer
    x = 416,597.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.