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Finding the Third Proportional to 186,770 and 279,495

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Solution

The third proportional to 186,770 and 279,495 is: 418,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,770 : 279,495 = 279,495 : x
  2. Step 2: Convert to fraction form
    186,770/279,495 = 279,495/x
  3. Step 3: Cross multiply
    186,770x = 279,495 × 279,495
  4. Step 4: Simplify right side
    186,770x = 78,117,455,025
  5. Step 5: Solve for x
    x = 78,117,455,025/186,770
  6. Step 6: Final answer
    x = 418,254.83

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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.