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Finding the Third Proportional to 186,766 and 289,674

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Solution

The third proportional to 186,766 and 289,674 is: 449,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,766 : 289,674 = 289,674 : x
  2. Step 2: Convert to fraction form
    186,766/289,674 = 289,674/x
  3. Step 3: Cross multiply
    186,766x = 289,674 × 289,674
  4. Step 4: Simplify right side
    186,766x = 83,911,026,276
  5. Step 5: Solve for x
    x = 83,911,026,276/186,766
  6. Step 6: Final answer
    x = 449,284.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.