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Finding the Third Proportional to 132,770 and 286,668

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Solution

The third proportional to 132,770 and 286,668 is: 618,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,770 : 286,668 = 286,668 : x
  2. Step 2: Convert to fraction form
    132,770/286,668 = 286,668/x
  3. Step 3: Cross multiply
    132,770x = 286,668 × 286,668
  4. Step 4: Simplify right side
    132,770x = 82,178,542,224
  5. Step 5: Solve for x
    x = 82,178,542,224/132,770
  6. Step 6: Final answer
    x = 618,954.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.