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Finding the Third Proportional to 158,044.50 and 342,333

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Solution

The third proportional to 158,044.50 and 342,333 is: 741,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,044.50 : 342,333 = 342,333 : x
  2. Step 2: Convert to fraction form
    158,044.50/342,333 = 342,333/x
  3. Step 3: Cross multiply
    158,044.50x = 342,333 × 342,333
  4. Step 4: Simplify right side
    158,044.50x = 117,191,882,889
  5. Step 5: Solve for x
    x = 117,191,882,889/158,044.50
  6. Step 6: Final answer
    x = 741,511.93

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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.