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Finding the Third Proportional to 186,770 and 280,346

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Solution

The third proportional to 186,770 and 280,346 is: 420,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,770 : 280,346 = 280,346 : x
  2. Step 2: Convert to fraction form
    186,770/280,346 = 280,346/x
  3. Step 3: Cross multiply
    186,770x = 280,346 × 280,346
  4. Step 4: Simplify right side
    186,770x = 78,593,879,716
  5. Step 5: Solve for x
    x = 78,593,879,716/186,770
  6. Step 6: Final answer
    x = 420,805.70

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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.