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Finding the Third Proportional to 186,780 and 279,509

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Solution

The third proportional to 186,780 and 279,509 is: 418,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,780 : 279,509 = 279,509 : x
  2. Step 2: Convert to fraction form
    186,780/279,509 = 279,509/x
  3. Step 3: Cross multiply
    186,780x = 279,509 × 279,509
  4. Step 4: Simplify right side
    186,780x = 78,125,281,081
  5. Step 5: Solve for x
    x = 78,125,281,081/186,780
  6. Step 6: Final answer
    x = 418,274.34

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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.