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Finding the Third Proportional to 141,790.50 and 306,855

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Solution

The third proportional to 141,790.50 and 306,855 is: 664,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,790.50 : 306,855 = 306,855 : x
  2. Step 2: Convert to fraction form
    141,790.50/306,855 = 306,855/x
  3. Step 3: Cross multiply
    141,790.50x = 306,855 × 306,855
  4. Step 4: Simplify right side
    141,790.50x = 94,159,991,025
  5. Step 5: Solve for x
    x = 94,159,991,025/141,790.50
  6. Step 6: Final answer
    x = 664,078.28

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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.