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Finding the Third Proportional to 94,856 and 142,536

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Solution

The third proportional to 94,856 and 142,536 is: 214,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,856 : 142,536 = 142,536 : x
  2. Step 2: Convert to fraction form
    94,856/142,536 = 142,536/x
  3. Step 3: Cross multiply
    94,856x = 142,536 × 142,536
  4. Step 4: Simplify right side
    94,856x = 20,316,511,296
  5. Step 5: Solve for x
    x = 20,316,511,296/94,856
  6. Step 6: Final answer
    x = 214,182.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.