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Finding the Third Proportional to 186,502 and 279,689

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Solution

The third proportional to 186,502 and 279,689 is: 419,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,502 : 279,689 = 279,689 : x
  2. Step 2: Convert to fraction form
    186,502/279,689 = 279,689/x
  3. Step 3: Cross multiply
    186,502x = 279,689 × 279,689
  4. Step 4: Simplify right side
    186,502x = 78,225,936,721
  5. Step 5: Solve for x
    x = 78,225,936,721/186,502
  6. Step 6: Final answer
    x = 419,437.52

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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.