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Finding the Third Proportional to 141,342 and 307,219.50

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Solution

The third proportional to 141,342 and 307,219.50 is: 667,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,342 : 307,219.50 = 307,219.50 : x
  2. Step 2: Convert to fraction form
    141,342/307,219.50 = 307,219.50/x
  3. Step 3: Cross multiply
    141,342x = 307,219.50 × 307,219.50
  4. Step 4: Simplify right side
    141,342x = 94,383,821,180.25
  5. Step 5: Solve for x
    x = 94,383,821,180.25/141,342
  6. Step 6: Final answer
    x = 667,769.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.